Julio ARACENA, Luis CABRERA-CROT, Adrien RICHARD, Lilian SALINAS: Dynamically equivalent disjunctive networks. Theoretical Computer Science, vol. 1024, Paper No. 114899, (2025).

Sergio CAUCAO, Gabriel N. GATICA, Saulo MEDRADO, Yuri D. SOBRAL: Nonlinear twofold saddle point-based mixed finite element methods for a regularized $mu(I)$-rheology model of granular materials. Journal of Computational Physics, vol. 520, Paper No. 113462, (2025).

Boumediene CHENTOUF, Aissa GUESMIA, Mauricio SEPÚLVEDA, Rodrigo VÉJAR: Boundary stabilization of the Korteweg-de Vries-Burgers equation with an infinite memory-type control and applications: a qualitative and numerical analysis. Applied Mathematics and Optimization, vol. 90, 2, article number: 32, (2024).

Tomás BARRIOS, Rommel BUSTINZA: An a posteriori error analysis for an augmented DG method applied to Stokes problem. Numerical Methods for Partial Differential Equations, vol. 40, 5, e23100, (2024).

Sergio CAUCAO, Gabriel N. GATICA, Juan P. ORTEGA: A three-field mixed finite element method for the convective Brinkman-Forchheimer problem with varying porosity. Journal of Computational and Applied Mathematics, vol. 451, Paper No. 116090, (2024).

Gabriel N. GATICA: A note on the generalized Babuska-Brezzi theory: revisiting the proof of the associated Strang error estimates. Applied Mathematics Letters, vol. 157, Paper No. 109197, (2024).

Rodolfo ARAYA, Fabrice JAILLET, Diego PAREDES, Frederic VALENTIN: Generalizing the multiscale hybrid-mixed method for reactive-advective-diffusive equations. Computer Methods in Applied Mechanics and Engineering, vol. 428, Paper No. 117089, (2024).

Raimund BÜRGER, Yi MO, Zhuen RUAN, Shaoyong WANG, Zhenqi WANG, Aixiang WU: Rheological properties and concentration evolution of thickened tailings under the coupling effect of compression and shear. International Journal of Minerals, Metallurgy and Materials, vol. 31, pp. 862-876, (2024).

Claudio I. CORREA, Gabriel N. GATICA, Esteban HENRIQUEZ, Ricardo RUIZ-BAIER, Manuel SOLANO: Banach spaces-based mixed finite element methods for the coupled Navier--Stokes and Poisson--Nernst--Planck equations. Calcolo, vol. 61, article: 31, (2024).

Gabriel R. BARRENECHEA, Antonio Tadeu A. GOMES, Diego PAREDES: A multiscale hybrid method. SIAM Journal on Scientific Computing, vol. 46, 3, pp. A1628-A1657, (2024).

Raimund BÜRGER, Chong CHEN, Zhuen RUAN, Shaoyong WANG, Zhenqi WANG, Aixiang WU, Pengjie WU: Revealing the influence of additional structure on the flow field characteristics and flocculation performance in thickener feedwell through PIV experiments. Powder Technology, vol. 439, article: 119748 (12 pp.), (2024).

Isaac BERMUDEZ, Claudio I. CORREA, Gabriel N. GATICA, Juan P. SILVA: A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity. Applied Numerical Mathematics, vol. 201, pp. 465-487, (2024).

Raul NINA, Mauricio SEPÚLVEDA, Rodrigo VÉJAR, Octavio VERA: Gain of regularity for a coupled system of generalized nonlinear Schrödinger equations. Mathematical Methods in the Applied Sciences, vol. 47, no. 7, pp. 5618-5650, (2024).

Sarvesh KUMAR, David MORA, Ricardo RUIZ-BAIER, Nitesh VERMA: Numerical solution of the Biot/elasticity interface problem using virtual element methods. Journal of Scientific Computing, vol. 98, 3, Paper No. 53, (2024).

Juan Manuel CÁRDENAS, Manuel SOLANO: A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity. IMA Journal of Numerical Analysis, vol. 44, no. 2, pp. 945-979, (2024).

Raimund BÜRGER, Yi MO, Zhuen RUAN, Shaoyong WANG, Zhenqi WANG, Aixiang WU: Flocculation behavior, mechanics, and optimization of tailings based on multi-objective: Insight into the concentration and time-dependent floc size. Powder Technology, vol. 439, article: 119718 (17pp.), (2024).

Gabriel N. GATICA, Zeinab GHARIBI: A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations. Journal of Computational and Applied Mathematics, vol. 447, Paper No. 115885, (2024).

Rodolfo ARAYA, Cristian CÁRCAMO, Abner POZA, Eduardo VINO: An adaptive stabilized finite element method for the Stokes-Darcy coupled problem. Journal of Computational and Applied Mathematics, vol. 443, Paper No. 115753, (2024).

Felipe LEPE, David MORA, Jesús VELLOJÍN: Discontinuous Galerkin methods for the acoustic vibration problem. Journal of Computational and Applied Mathematics, vol. 441, Paper No. 115700, (2024).

Dibyendu ADAK, David MORA, Alberth SILGADO: The Morley-type virtual element method for the Navier-Stokes equations in stream-function form. Computer Methods in Applied Mechanics and Engineering, vol. 419, Paper No. 116573, (2024).

Franco DASSI, David MORA, Carlos REALES, Iván VELÁSQUEZ: Mixed variational formulations of virtual elements for the polyharmonic operator. Computers & Mathematics with Applications, vol. 158, pp. 150-166, (2024).

Raimund BÜRGER, Gezhong CHEN, Hezi HOU, Cuiping LI, Zhuen RUAN: A new permeability model of the compressible tailings thickening bed based on the throat structure parameters. Powder Technology, vol. 433, article: 119263 (16pp), (2024).

Esteban HENRIQUEZ, Manuel SOLANO: An unfitted HDG method for a distributed optimal control problem. Journal of Computational and Applied Mathematics, vol. 441, article: 115703, (2024).

Liliana CAMARGO, Bibiana LÓPEZ-RODRÍGUEZ, Mauricio OSORIO, Manuel SOLANO: An adaptive and quasi-periodic HDG method for Maxwell’s equations in heterogeneous media. Journal of Scientific Computing, vol. 98, 7, (2024).

Diego PAREDES, Frederic VALENTIN, Henrique M. VERSIEUX: Revisiting the robustness of the multiscale hybrid-mixed method: the face-based strategy. Journal of Computational and Applied Mathematics, vol. 436, article: 115415, (2024).

Tomás BARRIOS, Rommel BUSTINZA, Camila CAMPOS: A note on a posteriori error analysis for dual mixed methods with mixed boundary conditions. Numerical Methods for Partial Differential Equations, vol. 39, 5, pp. 3897-3918, (2023).

Franz CHOULY, Tom GUSTAFSSON, Patrick HILD: A Nitsche method for the elastoplastic torsion problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 57, pp. 1731-1746, (2023).

Laurence BEAUDE, Franz CHOULY, Mohamed LAAZIRI, Roland MASSON: Mixed and Nitsche’s discretizations of Coulomb frictional contact-mechanics for mixed dimensional poromechanical models. Computer Methods in Applied Mechanics and Engineering, vol. 413, article: 116124, (2023).

Olusegun ADEBAYO, Stéphane P. A. BORDAS, Franz CHOULY, Raluca EFTIMIE, Gwenaël ROLIN, Stéphane URCUN: Modelling keloids dynamics: A brief review and new mathematical perspectives. Bulletin of Mathematical Biology, vol. 85, article: 117, (2023).

Raimund BÜRGER, Gezhong CHEN, Yuan GAO, Hezi HOU, Cuiping LI, Zhuen RUAN, Hui WANG: Effect of variations in the polar and azimuthal angles of coarse particles on the structure of drainage channels in thickened beds. International Journal of Minerals, Metallurgy and Materials, vol. 30, no. 12, pp. 2321-2333, (2023).

Carlos M. MORA, Mario MUÑOZ: On the rate of convergence of an exponential scheme for the non-linear stochastic Schrödinger equation with finite-dimensional state space. Physica Scripta, vol. 98, 6, article: 065226, (2023).

Juan C. JIMENEZ, Carlos M. MORA, Mónica SELVA: Weak variable step-size schemes for stochastic differential equations based on controlling conditional moments. Applied Numerical Mathematics, vol. 187, pp. 235-261, (2023).

Gabriel N. GATICA, Nicolas NUÑEZ, Ricardo RUIZ-BAIER: New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces. Journal of Numerical Mathematics, vol. 31, 4, pp. 343-373, (2023).

Sergio CARRASCO, Sergio CAUCAO, Gabriel N. GATICA: New mixed finite element methods for the coupled convective Brinkman-Forchheimer and double-diffusion equations. Journal of Scientific Computing, vol. 97, 3, article: 61, (2023).

Sergio CAUCAO, Gabriel N. GATICA, Luis F. GATICA: A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem. Calcolo, vol. 60, 4, article: 51, (2023).

Julio ARACENA, Florian BRIDOUX, Luis GOMEZ, Lilian SALINAS: Complexity of limit cycles with block-sequential update schedules in conjunctive networks. Natural Computing, vol. 22, pp. 411-429 (2023).

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL, Romel PINEDA: Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 57, no. 5, pp. 2931–2976, (2023).

Raimund BÜRGER, Gerardo CHOWELL, Ilja KRÖKER, Leidy Y. LARA-DIAZ: A computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile. Journal of Biological Dynamics, vol. 17, no. 1, article: 2256774 (29pp), (2023).

Raimund BÜRGER, Gezhong CHEN, Yuan GAO, Hezi HOU, Cuiping LI, Zhuen RUAN: Structural evolution of bed drainage channels under the shear effect of the whole process of tailings thickening. Minerals Engineering, vol. 203, article: 108364 (13pp), (2023).

Dibyendu ADAK, Veronica ANAYA, Mostafa BENDAHMANE, David MORA: Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation. Mathematical Models and Methods in Applied Sciences, vol. 33, No. 10, pp. 2035-2083, (2023).

Rodolfo ARAYA, Franz CHOULY: Residual a posteriori error estimation for frictional contact with Nitsche method. Journal of Scientific Computing, vol. 96, 3, article: 87, (2023).

Gabriel N. GATICA, Cristian INZUNZA, Filander A. SEQUEIRA: New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems. Applied Numerical Mathematics, vol. 193, pp. 148-178, (2023).

Felisia A. CHIARELLO, Harold D. CONTRERAS, Luis M. VILLADA: Existence of entropy weak solutions for 1D non-local traffic models with space-discontinous flux. Journal of Engineering Mathematics, vol. 141, no. 9, (2023).

Julio CAREAGA, Gabriel N. GATICA: Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional settling. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 57, 4, pp. 2529-2556, (2023).

Veronica ANAYA, Ruben CARABALLO, Ricardo RUIZ-BAIER, Hector TORRES: Augmented finite element formulation for the Navier-Stokes equations with vorticity and variable viscosity. Computers & Mathematics with Applications, vol. 143, pp. 397-416, (2023).

Lady ANGELO, Jessika CAMAÑO, Sergio CAUCAO: A five-field mixed formulation for stationary magnetohydrodynamic flows in porous media. Computer Methods in Applied Mechanics and Engineering, vol. 414, Art. Num. 116158, (2023).

Rodrigo ABARCA DEL RIO, Fernando CAMPOS, Dieter ISSLER, Mauricio SEPÚLVEDA: Study of avalanche models using well balanced finite volume schemes. Obras y Proyectos, vol. 33, pp. 54-63, (2023).

Tomás BARRIOS, Rommel BUSTINZA, Camila CAMPOS: A note on a posteriori error analysis for dual mixed methods with mixed boundary conditions. Numerical Methods for Partial Differential Equations, vol. 39, 5, pp. 3897-3918 (2023).

Sergio CAUCAO, Eligio COLMENARES, Gabriel N. GATICA, Cristian INZUNZA: A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem. Computers & Mathematics with Applications, vol. 145, pp. 65-89, (2023).

Rodolfo ARAYA, Cristóbal BERTOGLIO, Cristian CÁRCAMO, Sergio URIBE: Convergence analysis of pressure reconstruction methods from discrete velocities. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 57, 3, pp. 1839-1861, (2023).

Claudio I. CORREA, Gabriel N. GATICA, Ricardo RUIZ-BAIER: New mixed finite element methods for the coupled Stokes and Poisson-Nernst-Planck equations in Banach spaces. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 57, 3, pp. 1511-1551, (2023).

Julio ARACENA, Adrien RICHARD, Lilian SALINAS: Synchronizing Boolean networks asynchronously. Journal of Computer and System Sciences, vol. 136, 249-279 (2023).

Gabriel N. GATICA, Nicolas NUÑEZ, Ricardo RUIZ-BAIER: Mixed-primal methods for natural convection driven phase change with Navier-Stokes-Brinkman equations. Journal of Scientific Computing, vol. 95, 3, article: 79, (2023).

Sergio CAUCAO, Gabriel N. GATICA, Juan P. ORTEGA: A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium. Computational Geosciences, vol. 27, 2, pp. 289-316, (2023).

Raimund BÜRGER, Hao FU, Zhuen RUAN, Jiandong WANG, Aixiang WU: Utilization of rice straw as an inhibitor of strength deterioration of sulfide-rich cemented paste backfill. Journal of Materials Research and Technology, vol. 24, pp. 833-843, (2023).

Raimund BÜRGER, Gezhong CHEN, Hezi HOU, Cuiping LI, Zhuen RUAN: Research on floc structure and physical properties based on pipeline flocculation. Journal of Water Process Engineering, vol. 53, article: 103627 (16pp), (2023).

Raimund BÜRGER, Sonia VALBUENA, Carlos A. VEGA: A well-balanced and entropy stable scheme for a reduced blood flow model. Numerical Methods for Partial Differential Equations, vol. 39, pp. 2491-2509, (2023).

Daniel INZUNZA, Felipe LEPE, Gonzalo RIVERA: Displacement-pseudostress formulation for the linear elasticity spectral problem. Numerical Methods for Partial Differential Equations, vol. 39, pp. 1996-2017, (2023).

Fernando BETANCOURT, Raúl CASTRO, René GÓMEZ, Omar SALAS, Javiera ZARABIA: Experimental study of mudrush mechanisms under different moisture contents in block caving. International Journal of Mining, Reclamation and Environment, vol. 37, 4, pp. 243-254, (2023).

Ana ALONSO-RODRIGUEZ, Jessika CAMAÑO: A graph-based algorithm for the approximation of the spectrum of the curl operator. SIAM Journal on Scientific Computing, vol. 45, 1, pp. A147-A169, (2023).

Ana ALONSO-RODRIGUEZ, Jessika CAMAÑO, Eduardo DE LOS SANTOS, Rodolfo RODRÍGUEZ: Divergence-free finite elements for the numerical solution of a hydroelastic vibration problem. Numerical Methods for Partial Differential Equations, vol. 39, pp. 163-186, (2023).

Jorge ALBELLA, Rodolfo RODRÍGUEZ, Pablo VENEGAS: Numerical approximation of a potentials formulation for the elasticity vibration problem. Computers & Mathematics with Applications, vol. 137, pp. 61-72, (2023).

Fernando BETANCOURT, Raimund BÜRGER, Stefan DIEHL, Leopoldo GUTIÉRREZ, María Carmen MARTÍ, Yolanda VÁSQUEZ: A model of froth flotation with drainage: simulations and comparison with experiments. Minerals, vol. 13, article: 344 (24pp), (2023).

Olga BARRERA, Stéphane P. A. BORDAS, Raphaël BULLE, Franz CHOULY, Jack S. HALE: An a posteriori error estimator for the spectral fractional power of the Laplacian. Computer Methods in Applied Mechanics and Engineering, vol. 407, Art. Num. 115943, (2023).

Raimund BÜRGER, Harold D. CONTRERAS, Luis M. VILLADA: A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux. Networks and Heterogeneous Media, vol. 18, pp. 664-693, (2023).

Raimund BÜRGER, R. Jishnu CHANDRAN, Manuel A. DÍAZ, Arun G. NEELAN: An efficient three-level weighted essentially non-oscillatory scheme for hyperbolic equations. Computational and Applied Mathematics, vol. 42, article: 70 (23pp), (2023).

Stéphane P. A. BORDAS, Raphaël BULLE, Franz CHOULY, Jack S. HALE, Alexei LOZINSKI: Hierarchical a posteriori error estimation of Bank–Weiser type in the Fenics project. Computers & Mathematics with Applications, vol. 131, pp. 103-123, (2023).

Veronica ANAYA, Ruben CARABALLO, Sergio CAUCAO, Luis F. GATICA, Ricardo RUIZ-BAIER, Ivan YOTOV: A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations. Computer Methods in Applied Mechanics and Engineering, vol. 404, 115829, (2023).

Raimund BÜRGER, Stefan DIEHL, María Carmen MARTÍ, Yolanda VÁSQUEZ: A difference scheme for a triangular system of conservation laws with discontinuous flux modeling three-phase flows. Networks and Heterogeneous Media, vol. 18, no. 1, pp. 140-190, (2023).

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL, Romel PINEDA: A model of reactive settling of activated sludge: comparison with experimental data. Chemical Engineering Science, vol. 267, article: 118244 (13pp), (2023).

Dibyendu ADAK, David MORA, Iván VELÁSQUEZ: A C0-nonconforming virtual element methods for the vibration and buckling problems of thin plates. Computer Methods in Applied Mechanics and Engineering, vol. 403, Part B, 115763, (2023).

Julio ARACENA, Christopher THRAVES: The weighted sitting closer to friends than enemies problem in the line. Journal of Combinatorial Optimization, vol. 45, article: 9 (2023).

Paulo AMORIM, Raimund BÜRGER, Rafael ORDOÑEZ, Luis M. VILLADA: Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis. Nonlinear Analysis: Real World Applications, vol. 69, article: 103703 (24pp), (2023).

Raimund BÜRGER, Stefan DIEHL, María Carmen MARTÍ, Yolanda VÁSQUEZ: A degenerating convection-diffusion system modelling froth flotation with drainage. IMA Journal of Applied Mathematics, vol. 87, pp. 1151-1190, (2022).

Eligio COLMENARES, Ricardo OYARZÚA, Francisco PIÑA: A discontinuous Galerkin method for the stationary Boussinesq system. Computational Methods in Applied Mathematics, vol. 22, 4, pp. 797-820, (2022).

Gabriel N. GATICA, Cristian INZUNZA, Ricardo RUIZ-BAIER, Felipe SANDOVAL: A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models. Journal of Numerical Mathematics, vol. 30, 4, pp. 325-356, (2022).

Gabriel N. GATICA, Norbert HEUER, Salim MEDDAHI: Numerical analysis and no regrets. Special issue dedicated to the memory of Francisco Javier Sayas (1968–2019). Computational Methods in Applied Mathematics, vol. 22, 4, pp. 751-755, (2022).

Eligio COLMENARES, Gabriel N. GATICA, Juan Carlos ROJAS: A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport. Calcolo, vol. 59, 4, article: 51, (2022).

Sergio CAUCAO, Ricardo OYARZÚA, Segundo VILLA-FUENTES: A posteriori error analysis of a momentum and thermal energy conservative mixed-FEM for the Boussinesq equations. Calcolo, vol. 59, 4, article: 45, (2022).

Veronica ANAYA, Arbaz KAHN, David MORA, Ricardo RUIZ-BAIER: Robust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling. SIAM Journal on Scientific Computing, vol. 44, 4, pp. B964-B995, (2022).

Jessika CAMAÑO, Carlos GARCIA, Ricardo OYARZÚA: Analysis of a new mixed-FEM for stationary incompressible magneto-hydrodynamics. Computers & Mathematics with Applications, vol. 127, pp. 65-79, (2022).

Gabriel N. GATICA, Salim MEDDAHI, Ricardo RUIZ-BAIER: An Lp spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations. IMA Journal of Numerical Analysis, vol. 42, 4, pp. 3154-3206, (2022).

David MORA, Carlos REALES, Alberth SILGADO: A C1-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery. IMA Journal of Numerical Analysis, vol. 42, 4, pp. 3632-3674, (2022).

Nestor SÁNCHEZ, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: Afternote to Coupling at a distance: convergence analysis and a priori error estimates. Computational Methods in Applied Mathematics, vol. 22, no. 4, 2022, pp. 945 970, (2022).

Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA, Paulo ZUÑIGA: A posteriori error analysis of a mixed finite element method for the coupled Brinkman--Forchheimer and double-diffusion equations. Journal of Scientific Computing, vol. 93, 2, article: 50, (2022).

Veronica ANAYA, David MORA, Amiya K. PANI, Ricardo RUIZ-BAIER: Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations. Journal of Numerical Mathematics, vol. 30, 3, 209-230, (2022).

Raimund BÜRGER, Marlon R. FULLA, José M. MENÉNDEZ-AGUADO, Ismael E. RIVERA: Study of steel ball recharge and consumption in a wet cement industrial mill via a population balance model. Particulate Science and Technology, vol. 40, no. 8, pp. 972-979, (2022).

Tomás BARRIOS, Rommel BUSTINZA, Camila CAMPOS: An a posteriori error estimator for a non homogeneous Dirichlet problem considering a dual mixed formulation. Trends in Computational and Applied Mathematics, vol. 23, Issue 3, pp. 549-568 (2022).

Franz CHOULY, Pauline KLEIN: Wave-heat coupling in one-dimensional unbounded domains: artificial boundary conditions and an optimized Schwarz method. Numerical Algorithms, vol. 90, pp. 631-668, (2022).

Franz CHOULY, Patrick HILD: On a finite element approximation for the elastoplastic torsion problem. Applied Mathematics Letters, vol. 132, paper no. 108191, (2022).

Franz CHOULY, Patrick HILD, Vanessa LLERAS, Yves RENARD: Nitsche method for contact with Coulomb friction: existence results for the static and dynamic finite element formulations. Journal of Computational and Applied Mathematics, vol. 416, paper no. 114557, (2022).

Gabriel N. GATICA, Cristian INZUNZA, Filander A. SEQUEIRA: A pseudostress-based mixed-primal finite element method for stress-assisted diffusion problems in Banach spaces. Journal of Scientific Computing, vol. 92, 3, article: 103, (2022).

Jaime MANRÍQUEZ, Ngoc-Cuong NGUYEN, Manuel SOLANO: A dissimilar non-matching HDG discretization for Stokes flows. Computer Methods in Applied Mechanics and Engineering, vol. 399, 1, article: 115292, (2022).

David MORA, Alberth SILGADO: A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean. Computers & Mathematics with Applications, vol. 116, pp. 212–228, (2022).

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL, Romel PINEDA: A moving-boundary model of reactive settling in wastewater treatment. Part 2: Numerical scheme. Applied Mathematical Modelling, vol. 111, pp. 247-269, (2022).

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: Numerical analysis of a stabilized mixed method applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions. Advances in Computational Mathematics, vol. 48, article: 43 (2022).

Sergio CAUCAO, Ricardo OYARZÚA, Segundo VILLA-FUENTES, Ivan YOTOV: A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations. Computer Methods in Applied Mechanics and Engineering, vol. 394, Paper No. 114895, (2022).

Jessika CAMAÑO, Sergio CAUCAO, Ricardo OYARZÚA, Segundo VILLA-FUENTES: A posteriori error analysis of a momentum conservative Banach-spaces based mixed-FEM for the Navier-Stokes problem. Applied Numerical Mathematics, vol. 176, pp. 134-158, (2022).

Aissa GUESMIA, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Laminated Timoshenko beams with interfacial slip and infinite memories. Mathematical Methods in the Applied Sciences, vol. 85, Issue 8, pp. 4408-4427, (2022).

Claudio I. CORREA, Gabriel N. GATICA: On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces. Computers & Mathematics with Applications, vol. 117, pp. 14-23, (2022).

Marcelo CAVALCANTI, Valeria DOMINGOS CAVALCANTI, Aissa GUESMIA, Mauricio SEPÚLVEDA: Well-posedness and stability for Schrödinger equations with infinite memory. Applied Mathematics and Optimization, vol. 85, article: 20, (2022).

Ngoc-Cuong NGUYEN, Jaime PERAIRE, Manuel SOLANO, Sébastien TERRANA: An HDG method for dissimilar meshes. IMA Journal of Numerical Analysis, vol. 42, Issue 2, pp. 1665-1699, (2022).

Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow. Computers & Mathematics with Applications, vol. 114, pp. 225-243, (2022).

Dibyendu ADAK, David MORA, Sundararajan NATARAJAN: Convergence analysis of virtual element method for nonlinear nonlocal dynamic plate equation. Journal of Scientific Computing, vol. 91, 1, article: 23, (2022).

Felisia A. CHIARELLO, Harold D. CONTRERAS, Luis M. VILLADA: Nonlocal reaction traffic flow model with on-off ramps. Networks and Heterogeneous Media, vol. 17, no. 2, pp. 203-226, (2022).

Raimund BÜRGER, Zhaoquan GAO, Zhuen RUAN, Jiandong WANG, Shaoyong WANG, Yiming WANG, Aixiang WU, Pingfa ZHANG: Optimization of parameters for rheological properties and strength of cemented paste backfill blended with coarse aggregates. Minerals, vol. 12, article: 374 (12pp), (2022).

Ayotomiwa Ezekiel ADENIYI, Juan M. BANDA, Raimund BÜRGER, Tsira CHAKHAIA, Gerardo CHOWELL, Isaac CHUN-HAI FUNG, Sushma DAHAL, Alexander EWING, Xinyi HUA, Alexander KIRPICH, Leidy Y. LARA-DIAZ, Ruiyan LUO, Sylvia K. OFORI, Olaseni PRINCE, Argita D. SALINDRI, Eunha SHIM, Pavel SKUMS, Anuj SRIVASTAVA, Amna TARIQ: An investigation of spatial-temporal patterns and predictions of the coronavirus 2019 pandemic in Colombia, 2020–2021. Plos Neglected Tropical Diseases, vol. 16, no. 3, article: e0010228 (33pp), (2022).

Alfredo BERMÚDEZ, Bibiana LÓPEZ-RODRÍGUEZ, Francisco José PENA, Rodolfo RODRÍGUEZ, Pilar SALGADO, Pablo VENEGAS: Numerical solution of an axisymmetric eddy current model with current and voltage excitations. Journal of Scientific Computing, vol. 91, 1, article: 8, (2022).

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL, Romel PINEDA: A moving-boundary model of reactive settling in wastewater treatment. Part 1: Governing equations. Applied Mathematical Modelling, vol. 106, pp. 390-401, (2022).

Gabriel N. GATICA, Bryan GOMEZ-VARGAS, Ricardo RUIZ-BAIER: A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems. Journal of Computational and Applied Mathematics, vol. 409, Art. Num. 114144, (2022).

Nestor SÁNCHEZ, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: Error analysis of an unfitted HDG method for a class of non-linear elliptic problems. Journal of Scientific Computing, vol. 90, 3, article: 92, (2022).

Fernando BETANCOURT, Raimund BÜRGER, Rafael ORDOÑEZ, Zhuen RUAN, Jiandong WANG, Shaoyong WANG, Yong WANG, Aixiang WU: A population balance model for shear-induced polymer-bridging flocculation of total tailings. Minerals, vol. 12, article: 40 (15pp), (2022).

Gonzalo A. BENAVIDES, Sergio CAUCAO, Gabriel N. GATICA, Alejandro A. HOPPER: A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem. Calcolo, vol. 59, 1, article: 6, (2022).

Reinaldo CAMPOS-VARGAS, Esther CARRERA, Bruno G. DEFILIPPI, Claudia FUENTEALBA, Ignacia HERNÁNDEZ, Maarten HERTOG, Claudio MENESES, Gerardo NUÑEZ, Diego PAREDES, Romina PEDRESCHI, Virgilio UARROTA: Transcriptome and hormone analyses reveals differences in physiological age of “Hass” avocado fruit. Postharvest Biology and Technology, vol. 185, Art. Num. 111806, (2022).

Manuel SOLANO, Felipe VARGAS: An unfitted HDG method for Oseen equations. Journal of Computational and Applied Mathematics, vol. 399, Art. Num. 113721, (2022).

Franco FAGNOLA, Carlos M. MORA: Supercritical Poincaré-Andronov-Hopf Bifurcation in a Mean-Field Quantum Laser Equation. Annales Henri Poincaré, vol. 22, 1, pp. 171-217, (2021).

Gabriel N. GATICA, Filander A. SEQUEIRA: An Lp spaces-based mixed virtual element method for the two-dimensional Navier-Stokes equations. Mathematical Models and Methods in Applied Sciences, vol. 31, 14, pp. 2937-2977, (2021).

Aissa GUESMIA, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Well-posedness and stability of a generalized micropolar thermoelastic body with infinite memory. Quarterly Journal of Mathematics, vol. 72, 4, pp. 1495-1515, (2021).

David MORA, Iván VELÁSQUEZ: A $C^{1}-C^{0}$ conforming virtual element discretization for the transmission eigenvalue problem. Research in the Mathematical Sciences, vol. 8, 4, Paper No. 56, 21 pp., (2021).

Sergio CAUCAO, Gabriel N. GATICA, Juan P. ORTEGA: A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman-Forchheimer and double-diffusion equations. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, 6, pp. 2725-2758, (2021).

Raimund BÜRGER, Manoj T. NAIR, Arun G. NEELAN: Three-level order-adaptive weighted essentially non-oscillatory schemes. Results in Applied Mathematics, vol. 12, article: 100217 (28pp), (2021).

Dibyendu ADAK, David MORA, Sundararajan NATARAJAN, Alberth SILGADO: A virtual element discretization for the time dependent Navier-Stokes equations in stream-function formulation. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, 5, pp. 2535-2566, (2021).

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: An a posteriori error estimate for a dual mixed method applied to Stokes system with non null source terms. Advances in Computational Mathematics, vol. 47, 5, Paper no. 77 (2021).

Gabriel N. GATICA, Cristian INZUNZA: On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lame and Stokes equations. Computers & Mathematics with Applications, vol. 102, pp. 87-94, (2021).

Rodolfo ARAYA, Cristian CÁRCAMO, Abner POZA: An adaptive stabilized finite element method for the Darcy’s equations with pressure dependent viscosities. Computer Methods in Applied Mechanics and Engineering, vol. 387, Paper no. 114100, (2021).

Rodolfo ARAYA, Cristian CÁRCAMO, Abner POZA, Frederic VALENTIN: An adaptative multiscale hybrid-mixed method for the Oseen equations. Advances in Computational Mathematics, vol. 47, no. 1, Paper no. 15, (2021).

Veronica ANAYA, Ruben CARABALLO, Bryan GOMEZ-VARGAS, David MORA, Ricardo RUIZ-BAIER: Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity. Calcolo, vol. 58, 4, article: 44, (2021).

Nicolas BARNAFI, Gabriel N. GATICA, Daniel E. HURTADO, Willian MIRANDA, Ricardo RUIZ-BAIER: Adaptive mesh refinement in deformable image registration: A posteriori error estimates for primal and mixed formulations. SIAM Journal on Imaging Sciences, vol. 14, 3, pp. 1238–1272, (2021).

Nestor SÁNCHEZ, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems. Numerische Mathematik, vol. 148, 4, pp. 919–958, (2021).

Jessika CAMAÑO, Carlos GARCIA, Ricardo OYARZÚA: Analysis of a momentum conservative mixed-FEM for the stationary Navier-Stokes problem. Numerical Methods for Partial Differential Equations, vol. 37, 5, pp. 2895-2923, (2021).

Felipe LEPE, David MORA, Gonzalo RIVERA, Iván VELÁSQUEZ: A virtual element method for the Steklov eigenvalue problem allowing small edges. Journal of Scientific Computing, vol. 82, 2, Art. Num. 44, (2021).

Fernando BETANCOURT, Raimund BÜRGER, Huazhe JIAO, Zhuen RUAN, Shengkai WANG, Yiming WANG, Yong WANG, Aixiang WU: Effect of interparticle interactions on the yield stress of thickened flocculated copper mineral tailings slurry. Powder Technology, vol. 392, pp. 278-285, (2021).

Jaime MUÑOZ-RIVERA, Reinhard RACKE, Mauricio SEPÚLVEDA, Octavio VERA: On exponential stability for thermoelastic plates: comparison and singular limits. Applied Mathematics and Optimization, vol. 84, 1, pp. 1045-1081, (2021).

David MORA, Iván VELÁSQUEZ: Virtual elements for the transmission eigenvalue problem on polytopal meshes. SIAM Journal on Scientific Computing, vol. 43, 4, pp. A2425-A2447, (2021).

Nicolas BARNAFI, Gabriel N. GATICA, Daniel E. HURTADO, Willian MIRANDA, Ricardo RUIZ-BAIER: New primal and dual-mixed finite element methods for stable image registration with singular regularization. Mathematical Models and Methods in Applied Sciences (M3AS), vol. 31, 5, pp. 979-1020, (2021).

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL: A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area. IMA Journal of Applied Mathematics, vol. 86, 3, pp. 514-546, (2021).

Marcelo CAVALCANTI, Wellington CORREA, Andrei V. FAMINSKII, Mauricio SEPÚLVEDA, Rodrigo VÉJAR: Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation. Computers & Mathematics with Applications, vol. 96, pp. 188-208, (2021).

Julio ARACENA, Luis CABRERA-CROT, Lilian SALINAS: Finding the fixed points of a Boolean network from a positive feedback vertex set. Bioinformatics, vol. 37, 8, pp. 1148-1155, (2021).

José QUERALES, Rodolfo RODRÍGUEZ, Pablo VENEGAS: Numerical approximation of the displacement formulation of the axisymmetric acoustic vibration problem. SIAM Journal on Scientific Computing, vol. 43, 3, pp. A1583-A1606, (2021).

Gabriel N. GATICA, George C. HSIAO, Salim MEDDAHI: Further developments on boundary-field equation methods for nonlinear transmission problems. Journal of Mathematical Analysis and Applications, vol. 502, 2, Art. Num. 125262, (2021).

Gabriel N. GATICA, Mauricio MUNAR, Filander A. SEQUEIRA: A mixed virtual element method for the Boussinesq problem on polygonal meshes. Journal of Computational Mathematics, vol. 39, 3, pp. 392-427, (2021).

Raimund BÜRGER, Christophe CHALONS, Rafael ORDOÑEZ, Luis M. VILLADA: A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. Networks and Heterogeneous Media, vol. 16, 2, pp. 187-219, (2021).

Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA, Felipe SANDOVAL: Residual-based a posteriori error analysis for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, 2, pp. 659-687, (2021).

Sergio CAUCAO, Gabriel N. GATICA, Felipe SANDOVAL: A fully-mixed finite element method for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. Numerical Methods for Partial Differential Equations, vol. 37, 3, pp. 2550-2587, (2021).

Carlo LOVADINA, David MORA, Iván VELÁSQUEZ: A virtual element method for the von Kármán equations. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, 2, pp. 533-560, (2021).

Eligio COLMENARES, Gabriel N. GATICA, Willian MIRANDA: Analysis of an augmented fully-mixed finite element method for a bioconvective flows model. Journal of Computational and Applied Mathematics, vol. 393, Art. Num. 113504, (2021).

Raimund BÜRGER, Gerardo CHOWELL, Leidy Y. LARA-DIAZ: Measuring differences between phenomenological growth models applied to epidemiology. Mathematical Biosciences, vol. 334, article: 108558 (15pp), (2021).

Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity. Calcolo, vol. 58, 1, article: 11, (2021).

Peter MONK, Cinthya RIVAS, Rodolfo RODRÍGUEZ, Manuel SOLANO: An asymptotic model based on matching far and near field expansions for thin gratings problems. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, pp. S507-S533, (2021).

Ricardo OYARZÚA, Sander RHEBERGEN, Manuel SOLANO, Paulo ZUÑIGA: Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model. ESAIM: Mathematical Modelling and Numerical Analysis, vol 55, pp. S475-S506, (2021).

Graham BAIRD, Raimund BÜRGER, Paul E. MÉNDEZ, Ricardo RUIZ-BAIER: Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters. Numerische Mathematik, vol. 147, 2, pp. 431-479, (2021).

Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport. IMA Journal of Numerical Analysis, vol. 41, 1, pp. 381-411, (2021).

Rodolfo ARAYA, Ramiro REBOLLEDO, Frederic VALENTIN: On a multiscale a posteriori error estimator for the Stokes and Brinkman equations. IMA Journal of Numerical Analysis, vol. 41, 1, pp. 344-380, (2021).

Gabriel N. GATICA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER, Yuri D. SOBRAL: Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds. Computers & Mathematics with Applications, vol. 84, pp. 244-276, (2021).

Reinaldo CAMPOS-VARGAS, Claudia FUENTEALBA, Ignacia HERNÁNDEZ, Maarten HERTOG, Claudio MENESES, Diego PAREDES, Romina PEDRESCHI, Virgilio UARROTA: Can metabolites at harvest be used as physiological markers for modelling the softening behaviour of Chilean “Hass” avocados destined to local and distant markets?. Postharvest Biology and Technology, vol. 174, Art. Num. 111457, (2021).

Hugo CARRILLO, Carlos PARÉS, David ZORÍO: Lax-Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions. Journal of Scientific Computing, vol. 86, 1, article: 15 (41pp), (2021).

Raimund BÜRGER, Sarvesh KUMAR, David MORA, Ricardo RUIZ-BAIER, Nitesh VERMA: Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. Advances in Computational Mathematics, vol. 47, 1, article: 2 (37pp), (2021).

Patrick E. FARRELL, Luis F. GATICA, Bishnu LAMICHHANE, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: Mixed Kirchhoff stress - displacement - pressure formulations for incompressible hyperelasticity. Computer Methods in Applied Mechanics and Engineering, vol. 374, Art. Num. 113562, (2021).

Gonzalo A. BENAVIDES, Leonardo E. FIGUEROA: Orthogonal polynomial projection error in Dunkl-Sobolev norms in the ball. Journal of Approximation Theory, vol. 261, Art. Num. 105495, (2021).

Gabriel N. GATICA, Salim MEDDAHI: Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Journal of Numerical Mathematics, vol. 28, 4, pp. 223-245, (2020).

Raimund BÜRGER, Enrique D. FERNÁNDEZ NIETO, Victor OSORES: A multilayer shallow water approach for polydisperse sedimentation with sediment compressibility and mixture viscosity. Journal of Scientific Computing, vol. 85, 2, article: 49 (40pp), (2020).

Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA, Nestor SÁNCHEZ: A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations. Journal of Scientific Computing, vol. 85, 2, article: 44, (2020).

Sergio CAUCAO, Ricardo OYARZÚA, Segundo VILLA-FUENTES: A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy. Calcolo, vol. 57, 4, article:36, (2020).

Antonio BAEZA, Raimund BÜRGER, María Carmen MARTÍ, Pep MULET, David ZORÍO: On approximate implicit Taylor method for ordinary differential equations. Computational and Applied Mathematics, vol. 39, 4, article: 304 (21pp), (2020).

Ricardo OYARZÚA, Miguel SERÓN: A divergence-conforming DG-mixed finite element method for the stationary Boussinesq problem. Journal of Scientific Computing, vol. 85, 1, 14, (2020).

Raimund BÜRGER, Elvis GAVILÁN, Daniel INZUNZA, Pep MULET, Luis M. VILLADA: Exploring a convection-diffusion-reaction model of the propagation of forest fires: computation of risk maps for heterogeneous environments. Mathematics, vol. 8, 10, article: 1674 (20pp), (2020).

Julio ARACENA, Maximilien GADOULEAU, Adrien RICHARD, Lilian SALINAS: Fixing monotone Boolean networks asynchronously. Information and Computation, vol. 274, Art. Num. 104540, (2020).

Tomás BARRIOS, Rommel BUSTINZA: An a priori error analysis for discontinuous Lagrangian finite elements applied to nonconforming dual mixed formulations: Poisson and Stokes problems. Electronic Transactions on Numerical Analysis, vol. 52, pp. 455-479, (2020).

Gabriel N. GATICA, Ricardo OYARZÚA, Nathalie VALENZUELA: A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem. Computers & Mathematics with Applications, vol. 80, 8, pp. 1944-1963, (2020).

Raimund BÜRGER, Paola GOATIN, Daniel INZUNZA, Luis M. VILLADA: A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries. Mathematical Biosciences and Engineering, vol. 17, 5, pp. 5883-5906, (2020).

Marcelo CAVALCANTI, Wellington CORREA, Türker ÖZSARI, Mauricio SEPÚLVEDA, Rodrigo VÉJAR: Exponential stability for the nonlinear Schrödinger equation with locally distributed damping. Communications in Partial Differential Equations, vol. 45, 9, pp. 1134-1167, (2020).

Raimund BÜRGER, Stefan DIEHL, María Carmen MARTÍ, Yolanda VÁSQUEZ: Flotation with sedimentation: Steady states and numerical simulation of transient operation. Minerals Engineering, vol. 157, Art. Num. 106419 (18pp), (2020).

Gonzalo A. BENAVIDES, Sergio CAUCAO, Gabriel N. GATICA, Alejandro A. HOPPER: A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem. Computer Methods in Applied Mechanics and Engineering, vol. 371, Art. Num. 113285, (2020).

Sergio CAUCAO, Marco DISCACCIATI, Gabriel N. GATICA, Ricardo OYARZÚA: A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, 5, pp. 1689-1723, (2020).

Mauricio MUNAR, Filander A. SEQUEIRA: A posteriori error analysis of a mixed virtual element method for a nonlinear Brinkman model of porous media flow. Computers & Mathematics with Applications, vol. 80, 5, pp. 1240-1259, (2020).

Eligio COLMENARES, Gabriel N. GATICA, Sebastian MORAGA: A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, 5, pp. 1525-1568, (2020).

Raimund BÜRGER, Stefan DIEHL, María Carmen MARTÍ, Yolanda VÁSQUEZ: Simulation and control of dissolved air flotation and column froth flotation with simultaneous sedimentation. Water Science and Technology, vol. 81, 8, pp. 1723-1732, (2020).

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL: A review of flux identification methods for models of sedimentation. Water Science and Technology, vol. 81, 8, pp. 1715-1722, (2020).

Raimund BÜRGER, Elvis GAVILÁN, Daniel INZUNZA, Pep MULET, Luis M. VILLADA: Implicit-explicit methods for a convection-diffusion-reaction model of the propagation of forest fires. Mathematics, vol. 8, article: 1034 (21pp), (2020).

Antoine J. CERFON, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: Adaptive hybridizable discontinuous Galerkin discretization of the Grad-Shafranov equation by extension from polygonal subdomains. Computer Physics Communications, vol. 255, Art. Num. 107239, (2020).

Hernán MARDONES, Carlos M. MORA: First-order weak balanced schemes for stochastic differential equations. Methodology and Computing in Applied Probability, vol. 22, 2, pp. 833-852, (2020).

Luis Miguel DE OLIVEIRA VILACA, Bryan GOMEZ-VARGAS, Sarvesh KUMAR, Ricardo RUIZ-BAIER, Nitesh VERMA: Stability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissue. Applied Mathematical Modelling, vol. 84, pp. 425-446, (2020).

Liliana CAMARGO, Bibiana LÓPEZ-RODRÍGUEZ, Mauricio OSORIO, Manuel SOLANO: An HDG method for Maxwell equations in heterogeneous media. Computer Methods in Applied Mechanics and Engineering, vol. 368, Art. Num. 113178, (2020).

Raimund BÜRGER, Zhuen RUAN, Jiandong WANG, Yong WANG, Aixiang WU, Shenghua YIN: Optimization of flocculation and settling parameters of tailings slurry by response surface methodology. Minerals Engineering, vol. 156, article: 106488 (8pp), (2020).

Eligio COLMENARES, Gabriel N. GATICA, Sebastian MORAGA, Ricardo RUIZ-BAIER: A fully-mixed finite element method for the steady state Oberbeck-Boussinesq system. SMAI Journal of Computational Mathematics, vol. 6, pp. 125-157, (2020).

Raimund BÜRGER, Paul E. MÉNDEZ, Ricardo RUIZ-BAIER: Convergence of H(div)-conforming schemes for a new model of sedimentation in circular clarifiers with a rotating rake. Computer Methods in Applied Mechanics and Engineering, vol. 367, article: 113130, (2020).

Javier A. ALMONACID, Gabriel N. GATICA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: A new mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent viscosity. Networks and Heterogeneous Media, vol. 15, 2, pp. 215-245, (2020).

Raimund BÜRGER, Rafael ORDOÑEZ, Mauricio SEPÚLVEDA, Luis M. VILLADA: Numerical analysis of a three-species chemotaxis model. Computers & Mathematics with Applications, vol. 80, pp. 183-203, (2020).

Felipe LEPE, David MORA: Symmetric and non-symmetric discontinuous Galerkin methods for a pseudostress formulation of the Stokes spectral problem. SIAM Journal on Scientific Computing, vol. 42, No. 2, pp. A698-A722, (2020).

Jorge AGUAYO, Rodolfo ARAYA, Santiago MUÑOZ: An adaptive stabilized method for advection-diffusion-reaction equation. Journal of Computational and Applied Mathematics, vol. 376, Art. Num. 112858, (2020).

Gabriel N. GATICA: A note on stable Helmholtz decompositions in 3D. Applicable Analysis, vol. 99, 7, pp. 1110-1121, (2020).

Veronica ANAYA, Mostafa BENDAHMANE, David MORA, Mauricio SEPÚLVEDA: A virtual element method for a nonlocal FitzHugh-Nagumo model of cardiac electrophysiology. IMA Journal of Numerical Analysis, vol. 40, 2, pp. 1544-1576, (2020).

Javier A. ALMONACID, Hugo S. DÍAZ, Gabriel N. GATICA, Antonio MARQUEZ: A fully-mixed finite element method for the coupling of the Stokes and Darcy-Forchheimer problems. IMA Journal of Numerical Analysis, vol. 40, 2, pp. 1454-1502, (2020).

Rodolfo ARAYA, Rodolfo RODRÍGUEZ, Pablo VENEGAS: Numerical analysis of a time-domain elastoacoustic problem. IMA Journal of Numerical Analysis, vol. 40, 2, pp. 1112-1153, (2020).

Gabriel R. BARRENECHEA, Fabrice JAILLET, Diego PAREDES, Frederic VALENTIN: The multiscale hybrid mixed method in general polygonal meshes. Numerische Mathematik, vol. 145, 1, pp. 197-237, (2020).

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: A stabilised mixed method applied to Stokes system with nonhomogeneous source terms: The stationary case. International Journal for Numerical Methods in Fluids, vol. 92, pp. 509-527, (2020).

Antonio BAEZA, Raimund BÜRGER, Pep MULET, David ZORÍO: An efficient third-order WENO scheme with unconditionally optimal accuracy. SIAM Journal on Scientific Computing, vol. 42, No. 2, pp. A1028-A1051, (2020).

Gabriel CARCAMO, Stephanie CARO, Fabián FLORES-BAZÁN: Extensions of the standard quadratic optimization problem: strong duality, optimality, hidden convexity and S-lemma. Applied Mathematics and Optimization, vol. 81, 2, pp. 383-408, (2020).

Javier A. ALMONACID, Gabriel N. GATICA: A fully-mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent parameters. Computational Methods in Applied Mathematics, vol. 20, 2, pp. 187-213, (2020).

Alfredo BERMÚDEZ, Bibiana LÓPEZ-RODRÍGUEZ, Rodolfo RODRÍGUEZ, Pilar SALGADO: Numerical analysis of a penalty approach for the solution of a transient eddy current problem. Computers & Mathematics with Applications, vol. 79, pp. 2503-2526 (2020).

Anahi GAJARDO, Vincent NESME, Guillaume THEYSSIER: Pre-expansivity in cellular automata. Theoretical Computer Science, vol. 816, pp. 37-66, (2020).

Adrian CARRILLO-GALVEZ, Fabián FLORES-BAZÁN, Enrique LOPEZ: A duality theory approach to the environmental/economic dispatch problem. Electric Power Systems Research, vol 184, Art. Num. 106285, (2020).

Marcelo CAVALCANTI, Wellington CORREA, André DOMINGOS, Zaid HAJJEJ, Mauricio SEPÚLVEDA, Rodrigo VÉJAR: Uniform decay rates for a suspension bridge with locally distributed nonlinear damping. Journal of the Franklin Institute, vol. 357, 4, pp. 2388-2419, (2020).

Rommel BUSTINZA, Jonathan MUNGUIA: A hybrid high-order formulation for a Neumann problem on polytopal meshes. Numerical Methods for Partial Differential Equations, vol. 36, 3, pp. 524-551 (2020).

Sarvesh KUMAR, Ricardo OYARZÚA, Ricardo RUIZ-BAIER, Ruchi SANDILYA: Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, 1, pp. 273-300, (2020).

Veronica ANAYA, Zoa DE WIJN, Bryan GOMEZ-VARGAS, David MORA, Ricardo RUIZ-BAIER: Rotation-based mixed formulations for an elasticity-poroelasticity interface problem. SIAM Journal on Scientific Computing, vol. 42, 1, pp. B225–B249, (2020).

Fernando BETANCOURT, Diana CELI, Pablo CORNEJO, Marco DEL RÍO, Luciana MACERA, Alonso PEREIRA, Nickolaj RULYOV: Comparison of ultra-flocculation reactors applied to fine quartz slurries. Minerals Engineering, vol. 148, Art. Num. 106074, (2020).

Felisia A. CHIARELLO, Paola GOATIN, Luis M. VILLADA: Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models. Computational and Applied Mathematics, vol. 39, article:60, (2020).

Gabriel N. GATICA, Cristian INZUNZA: An augmented fully-mixed finite element method for a coupled flow-transport problem. Calcolo, vol. 57, 1, article:8, (2020).

David MORA, Gonzalo RIVERA: A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations. IMA Journal of Numerical Analysis, vol. 40, 1, pp. 322–357, (2020).

David MORA, Iván VELÁSQUEZ: Virtual element for the buckling problem of Kirchhoff-Love plates. Computer Methods in Applied Mechanics and Engineering, vol. 360, Art. Num. 112687, (2020).

Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow. Computer Methods in Applied Mechanics and Engineering, vol. 360, 1, Art. Num. 112780, (2020).

Gregory ALBORNOZ-PALMA, Fernando BETANCOURT, Gary CHINGA-CARRASCO, Miguel PEREIRA, Regis TEIXEIRA MENDONÇA: Relationship between rheological and morphological characteristics of cellulose nanofibrils in dilute dispersions. Carbohydrate Polymers, vol. 230, Art. Num.115588 (9 pp), (2020).

Luci FATORI, Tais De Olivera SAITO, Mauricio SEPÚLVEDA, Eiji Renan TAKAHASHI: Energy decay to Timoshenko system with indefinite damping. Mathematical Methods in the Applied Sciences, vol. 43, 1, pp. 225-241, (2020).

Javier A. ALMONACID, Gabriel N. GATICA, Ricardo RUIZ-BAIER: Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics. Calcolo, vol. 57, 1, article:2, (2020).

Antonio BAEZA, Raimund BÜRGER, Pep MULET, David ZORÍO: Weno reconstructions of unconditionally optimal high order. SIAM Journal on Numerical Analysis, vol. 57, no. 6, pp. 2760-2784, (2019).

Gabriel N. GATICA, Salim MEDDAHI: On the coupling of VEM and BEM in two and three dimensions. SIAM Journal on Numerical Analysis, vol. 57, 6, pp. 2493-2518, (2019).

Lourenco BEIRAO-DA-VEIGA, David MORA, Giuseppe VACCA: The Stokes complex for virtual elements with application to Navier-Stokes flows. Journal of Scientific Computing, vol. 81, 2, pp. 990-1018, (2019).

Raimund BÜRGER, Stefan DIEHL, María Carmen MARTÍ: A system of conservation laws with discontinuous flux modelling flotation with sedimentation. IMA Journal of Applied Mathematics, vol. 84, 5, pp. 930-973, (2019).

Aníbal CORONEL, Fernando HUANCAS, Mauricio SEPÚLVEDA: Identification of space distributed coefficients in an indirectly transmitted diseases model. Inverse Problems, vol. 35, 11, (2019) 115001 (20pp).

Marcelo CAVALCANTI, Wellington CORREA, Mauricio SEPÚLVEDA, Rodrigo VÉJAR: Finite difference scheme for a higher order nonlinear Schrödinger equation. Calcolo, vol. 56, 4, article:40, (2019).

Veronica ANAYA, Afaf BOUHARGUANE, David MORA, Carlos REALES, Ricardo RUIZ-BAIER, Nour SELOULA, Hector TORRES: Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations. Journal of Scientific Computing, vol. 80, 3, pp. 1577-1606, (2019).

Rodolfo ARAYA, Manuel SOLANO, Patrick VEGA: A posteriori error analysis of an HDG method for the Oseen problem. Applied Numerical Mathematics, vol. 146, pp. 291-308, (2019).

Veronica ANAYA, Bryan GOMEZ-VARGAS, David MORA, Ricardo RUIZ-BAIER: Incorporating variable viscosity in vorticity-based formulations for Brinkman equations. Comptes Rendus Mathematique, vol. 357, 6, pp. 552-560, (2019).

Fernando BETANCOURT, Antonio GARCÍA: Conservative mathematical model and numerical simulation of batch gravity settling with coalescence of liquid-liquid dispersion. Chemical Engineering Science, vol. 207, pp. 1214-1229, (2019).

Rodolfo ARAYA, Manuel SOLANO, Patrick VEGA: Analysis of an adaptive HDG method for the Brinkman problem. IMA Journal of Numerical Analysis, vol. 39, 3, pp. 1502-1528, (2019).

Raimund BÜRGER, Paul E. MÉNDEZ, Carlos PARÉS: On entropy stable schemes for degenerate parabolic multispecies kinematic flow models. Numerical Methods for Partial Differential Equations, vol. 35, 5, pp. 1847-1872, (2019).

Raimund BÜRGER, Enrique D. FERNÁNDEZ NIETO, Victor OSORES: A dynamic multilayer shallow water model for polydisperse sedimentation. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 53, 4, pp. 1391-1432, (2019).

Antonio BAEZA, Raimund BÜRGER, Pep MULET, David ZORÍO: On the efficient computation of smoothness indicators for a class of WENO reconstructions. Journal of Scientific Computing, vol. 80, 2, pp. 1240-1263, (2019).

Raimund BÜRGER, Hector TORRES, Carlos A. VEGA: An entropy stable scheme for the multiclass Lighthill-Whitham-Richards traffic model. Advances in Applied Mathematics and Mechanics, vol. 11, 5, pp. 1022-1047, (2019).

Felipe LEPE, Salim MEDDAHI, David MORA, Rodolfo RODRÍGUEZ: Mixed discontinuous Galerkin approximation of the elasticity eigenproblem. Numerische Mathematik, vol. 142, 3, pp. 749-786, (2019).

Marcelo CAVALCANTI, Wellington CORREA, Mauricio SEPÚLVEDA, Rodrigo VÉJAR: Finite difference scheme for a high order nonlinear Schrödinger equation with localized damping. Studia Universitatis Babeș-Bolyai Mathematica, vol. 64, 2, pp. 161-172, (2019).

Raimund BÜRGER, Paul E. MÉNDEZ, Ricardo RUIZ-BAIER: On H(div)-conforming methods for double-diffusion equations in porous media. SIAM Journal on Numerical Analysis, vol. 57, 3, pp. 1318-1343, (2019).

Paulo AMORIM, Bruno TELCH, Luis M. VILLADA: A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing. Mathematical Biosciences and Engineering, vol. 16, 5, pp. 5114-5145, (2019).

Raimund BÜRGER, Daniel INZUNZA, Pep MULET, Luis M. VILLADA: Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour. Applied Numerical Mathematics, vol. 144, pp. 234-252, (2019).

Jaime MUÑOZ-RIVERA, Verónica POBLETE, Mauricio SEPÚLVEDA, Héctor VARGAS, Octavio VERA: Remark on the stabilization for a Schrödinger equation with double power nonlinearity. Applied Mathematics Letters, vol. 98, pp. 63-69, (2019).

Mario ÁLVAREZ, Gabriel N. GATICA, Bryan GOMEZ-VARGAS, Ricardo RUIZ-BAIER: New mixed finite element methods for natural convection with phase-change in porous media. Journal of Scientific Computing, vol. 80, 1, pp. 141-174, (2019).

Mario ÁLVAREZ, Bryan GOMEZ-VARGAS, Ricardo RUIZ-BAIER, James WOODFIELD: Stability and finite element approximation of phase change models for natural convection in porous media. Journal of Computational and Applied Mathematics, vol. 360, pp. 117-137, (2019).

Raimund BÜRGER, Gerardo CHOWELL, Leidy Y. LARA-DIAZ: Comparative analysis of phenomenological growth models applied to epidemic outbreaks. Mathematical Biosciences and Engineering, vol. 16, 5, pp. 4250-4273, (2019).

Gabriel N. GATICA: A note on weak* convergence and compactness and their connection to the existence of the inverse-adjoint. Applicable Analysis, vol. 98, 8, pp. 1478-1482, (2019).

Manuel SOLANO, Felipe VARGAS: A high order HDG method for Stokes flow in curved domains. Journal of Scientific Computing, vol. 79, 3, pp 1505-1533, (2019).

Aníbal CORONEL, Fernando HUANCAS, Mauricio SEPÚLVEDA: A note on the existence and stability of an inverse problem for a SIS model. Computers & Mathematics with Applications, vol. 77, 12, pp. 3184-3196, (2019).

Alfredo BERMÚDEZ, Bibiana LÓPEZ-RODRÍGUEZ, Rodolfo RODRÍGUEZ, Pilar SALGADO: Numerical solution of a transient three-dimensional eddy current model with moving conductors. International Journal of Numerical Analysis and Modeling, vol. 16, 5, pp. 695-717, (2019).

Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: A high order mixed-FEM for diffusion problems on curved domains. Journal of Scientific Computing, vol. 79, 1, pp. 49-78, (2019).

Raimund BÜRGER, Daniel INZUNZA, Pep MULET, Luis M. VILLADA: Implicit-explicit schemes for nonlinear nonlocal equations with a gradient flow structure in one space dimension. Numerical Methods for Partial Differential Equations, vol. 35, 3, pp. 1008-1034, (2019).

Tomás BARRIOS, Rommel BUSTINZA, Galina C. GARCÍA, María GONZÁLEZ: An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem. Journal of Computational and Applied Mathematics, vol 357, pp. 349-365, (2019).

Daniele BOFFI, Lucia GASTALDI, Rodolfo RODRÍGUEZ, Ivana SEBESTOVA: A posteriori error estimates for Maxwell's eigenvalue problem. Journal of Scientific Computing, vol. 78, 2, pp. 1250-1271, (2019).

Javier A. ALMONACID, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of a mixed-primal finite element method for the Boussinesq problem with temperature-dependant viscosity. Journal of Scientific Computing, vol. 78, 2, pp. 887-917, (2019).

Gabriel N. GATICA, Bryan GOMEZ-VARGAS, Ricardo RUIZ-BAIER: Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems. Computers & Mathematics with Applications, vol. 77, 5, pp. 1312-1330, (2019).

Veronica ANAYA, David MORA, Carlos REALES, Ricardo RUIZ-BAIER: Vorticity-pressure formulations for the Brinkman-Darcy coupled problem. Numerical Methods for Partial Differential Equations, vol. 35, 2, pp. 528-544, (2019).

Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. Computers & Mathematics with Applications, vol. 77, 3, pp. 693-714, (2019).

Antonio BAEZA, Raimund BÜRGER, Pep MULET, David ZORÍO: Central WENO schemes through a global average weight. Journal of Scientific Computing, vol. 78, 1, pp. 499-530, (2019).

Rommel BUSTINZA, Ariel LOMBARDI, Manuel SOLANO: An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method. Computer Methods in Applied Mechanics and Engineering, vol. 345, pp. 382-401, (2019).

Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of an augmented fully-mixed formulation for the non-isothermal Oldroyd-Stokes problem. Numerical Methods for Partial Differential Equations, vol. 35, 1, pp. 295-324, (2019).

Fernando BETANCOURT, Fernando CONCHA, Pablo CORNEJO, Marco DEL RÍO, Nickolaj RULYOV: Study of shear rate production in different geometric configurations of hidraulic reactors for ultra-flocculation. Chemical Engineering Research and Design, vol. 141, pp. 133-143, (2019).

Raimund BÜRGER, Gerardo CHOWELL, Elvis GAVILÁN, Pep MULET, Luis M. VILLADA: Numerical solution of a spatio-temporal predator-prey model with infected prey. Mathematical Biosciences and Engineering, vol. 16, 1, pp. 438-473, (2019).

Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: A hybridizable discontinuous Galerkin solver for the Grad-Shafranov equation. Computer Physics Communications, vol. 235, pp.120-132, (2019).

Veronica ANAYA, Zoa DE WIJN, David MORA, Ricardo RUIZ-BAIER: Mixed displacement-rotation-pressure formulations for elasticity. Computer Methods in Applied Mechanics and Engineering, vol. 344, pp. 71-94, (2019).

Ernesto CÁCERES, Gabriel N. GATICA, Filander A. SEQUEIRA: A mixed virtual element method for a pseudostress-based formulation of linear elasticity. Applied Numerical Mathematics, vol. 135, pp. 423-442, (2019).

Lourenco BEIRAO-DA-VEIGA, David MORA, Gonzalo RIVERA: Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates. Mathematics of Computation, vol. 88, 315, pp. 149-178, (2019).

Raimund BÜRGER, Ilja KRÖKER: Computational uncertainty quantification for some strongly degenerate parabolic convection-diffusion equations. Journal of Computational and Applied Mathematics, vol. 348, pp. 490-508, (2019).

Felipe LEPE, Salim MEDDAHI, David MORA, Rodolfo RODRÍGUEZ: Acoustic vibration problem for dissipative fluids. Mathematics of Computation, vol. 88, 315, pp. 45-71, (2019).

Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Stability to localized viscoelastic transmission problem. Communications in Partial Differential Equations, vol. 43, 5, pp. 821-838, (2018).

David MORA, Iván VELÁSQUEZ: A virtual element method for the transmission eigenvalue problem. Mathematical Models and Methods in Applied Sciences, vol. 28, 14, pp. 2803-2831, (2018).

Gabriel N. GATICA, Mauricio MUNAR, Filander A. SEQUEIRA: A mixed virtual element method for the Navier-Stokes equations. Mathematical Models and Methods in Applied Sciences, vol. 28, 14, pp. 2719-2762, (2018).

Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA: Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations. Mathematical Modelling and Numerical Analysis, vol. 52, 5, pp. 1947-1980, (2018).

Ana ALONSO-RODRIGUEZ, Jessika CAMAÑO, Rodolfo RODRÍGUEZ, Alberto VALLI, Pablo VENEGAS: Finite element approximation of the spectrum of the curl operator in a multiply-connected domain. Foundations of Computational Mathematics, vol. 18, 6, pp. 1493-1533, (2018).

Jay GOPALAKRISHNAN, Manuel SOLANO, Felipe VARGAS: Dispersion analysis of HDG methods. Journal of Scientific Computing, vol. 77, 3, pp. 1703-1735, (2018).

Nicolas BARNAFI, Gabriel N. GATICA, Daniel E. HURTADO: Primal and mixed finite element methods for deformable image registration problems. SIAM Journal on Imaging Sciences, vol. 11, 4, pp. 2529-2567, (2018).

Thomas FÜHRER, Norbert HEUER, Michael KARKULIK, Rodolfo RODRÍGUEZ: Combining the DPG method with finite elements. Computational Methods in Applied Mathematics, vol. 18, 4, pp. 639-652, (2018).

David MORA, Gonzalo RIVERA, Iván VELÁSQUEZ: A virtual element method for the vibration problem of Kirchhoff plates. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 52, 4, pp. 1437-1456, (2018).

Ana ALONSO-RODRIGUEZ, Jessika CAMAÑO, Eduardo DE LOS SANTOS, Francesca RAPETTI: A graph approach for the construction of high order divergence-free Raviart-Thomas finite elements. Calcolo, vol. 55, 4, article:42, (2018).

Raimund BÜRGER, Oswaldo BUSTAMANTE, Marlon FULLA, Ismael RIVERA: A population balance model of ball wear in grinding mills: An experimental case study. Minerals Engineering, vol. 128, pp. 288-293, (2018).

Anahi GAJARDO, Benjamin HELLOUIN, Diego MALDONADO, Andres MOREIRA: Nontrivial turmites are Turing-universal. Journal of Cellular Automata, vol. 13, 5-6, pp. 373-392, (2018).

Javier A. ALMONACID, Gabriel N. GATICA, Ricardo OYARZÚA: A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity. Calcolo, vol. 55, 3, article:36, (2018)

Jessika CAMAÑO, Rodolfo RODRÍGUEZ, Pablo VENEGAS: Convergence of a lowest-order finite element method for the transmission eigenvalue problem. Calcolo, vol. 55, 3, article:33, (2018).

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL, Ryan MERCKEL, Jesús ZAMBRANO: Estimating the hindered-settling flux function from a batch test in a cone. Chemical Engineering Science, vol. 192, pp. 244-253, (2018).

Jessika CAMAÑO, Ricardo OYARZÚA, Ricardo RUIZ-BAIER, Giordano TIERRA: Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions. IMA Journal of Numerical Analysis, vol. 38, 3, pp. 1452-1484, (2018).

Raimund BÜRGER, Stefan DIEHL, Camilo MEJÍAS: A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 52, 2, pp. 365-392, (2018).

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL: Flux identification of scalar conservation laws from sedimentation in a cone. IMA Journal of Applied Mathematics, vol. 83, 3, pp. 526-552, (2018).

Gabriel N. GATICA, Mauricio MUNAR, Filander A. SEQUEIRA: A mixed virtual element method for a nonlinear Brinkman model of porous media flow. Calcolo, vol. 55, 2, article:21, (2018).

Raimund BÜRGER, Stefan DIEHL, María Carmen MARTÍ: A conservation law with multiply discontinuous flux modelling a flotation column. Networks and Heterogeneous Media, vol. 13, 2, pp. 339-371, (2018).

Gabriel N. GATICA, Bryan GOMEZ-VARGAS, Ricardo RUIZ-BAIER: Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems. Computer Methods in Applied Mechanics and Engineering, vol. 337, pp. 411-438, (2018).

Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems. Journal of Computational Physics, vol. 367, pp. 322-346, (2018).

Rolando BISCAY, Joaquin FERNÁNDEZ, Carlos M. MORA: Numerical solution of stochastic master equations using stochastic interacting wave functions. Journal of Computational Physics, vol. 367, pp. 28-48, (2018).

Raimund BÜRGER, Sudarshan K. KENETTINKARA, Ricardo RUIZ-BAIER, Hector TORRES: Coupling of discontinuous Galerkin schemes for viscous flow in porous media with adsorption. SIAM Journal on Scientific Computing, vol. 40, 2, pp. B637-B662, (2018).

Veronica ANAYA, Mostafa BENDAHMANE, David MORA, Ricardo RUIZ-BAIER: On a vorticity-based formulation for reaction-diffusion-Brinkman systems. Networks and Heterogeneous Media, vol. 13, 1, pp. 69-94, (2018).

Luis F. GATICA, Ricardo OYARZÚA, Nestor SÁNCHEZ: A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem. Computers & Mathematics with Applications, vol. 75, 7, pp. 2420-2444, (2018).

Jessika CAMAÑO, Cristian MUÑOZ, Ricardo OYARZÚA: Numerical analysis of a dual-mixed problem in non-standard Banach spaces. Electronic Transactions on Numerical Analysis, vol. 48, pp. 114-130, (2018).

Luis F. GATICA, Filander A. SEQUEIRA: A priori and a posteriori error analyses of an HDG method for the Brinkman problem. Computers & Mathematics with Applications, vol. 75, 4, pp. 1191-1212, (2018).

Rommel BUSTINZA, Bibiana LÓPEZ-RODRÍGUEZ, Mauricio OSORIO: An a priori error analysis of an HDG method for an eddy current problem. Mathematical Methods in the Applied Sciences, vol. 41, 7, pp. 2795-2810, (2018).

Rodolfo ARAYA, Ramiro REBOLLEDO: An a posteriori error estimator for a LPS method for Navier-Stokes equations. Applied Numerical Mathematics, vol. 127, pp. 179-195, (2018).

Gabriel CARCAMO, Fabián FLORES-BAZÁN: Strong duality and KKT conditions in nonconvex optimization with a single equality constraint and geometric constraint. Mathematical Programming, vol. 168, 1-2, pp. 369-400, (2018).

Christophe CHALONS, Paola GOATIN, Luis M. VILLADA: High order numerical schemes for one-dimension non-local conservation laws. SIAM Journal on Scientific Computing, vol. 40, 1, pp. A288-A305, (2018).

Cinthya RIVAS, Rodolfo RODRÍGUEZ, Manuel SOLANO: A perfectly matched layer for finite-element calculations of diffraction by metallic surface-relief gratings. Wave Motion, vol. 78, pp. 68-82, (2018).

Ernesto CÁCERES, Gabriel N. GATICA, Filander A. SEQUEIRA: A mixed virtual element method for quasi-Newtonian Stokes flows. SIAM Journal on Numerical Analysis, vol. 56, 1, pp. 317-343, (2018).

Raimund BÜRGER, Pep MULET, Lihki RUBIO: Implicit-explicit methods for the efficient simulation of the settling of dispersions of droplets and colloidal particles. Advances in Applied Mathematics and Mechanics, vol. 10, 2, pp. 445-467, (2018).

Fernando BETANCOURT, Raimund BÜRGER, Christophe CHALONS, Stefan DIEHL, Sebastian FARåS: A random sampling method for a family of Temple-class systems of conservation laws. Numerische Mathematik, vol. 138, 1, pp. 37-73, (2018).

Raimund BÜRGER, Pep MULET, Lihki RUBIO, Mauricio SEPÚLVEDA: Linearly implicit-explicit schemes for the equilibrium dispersive model of chromatography. Applied Mathematics and Computation, vol. 317, pp. 172-186, (2018).

Raimund BÜRGER, Gerardo CHOWELL, Elvis GAVILÁN, Pep MULET, Luis M. VILLADA: Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents. Mathematical Biosciences and Engineering, vol. 15, pp. 95-123, (2018).

Alfredo BERMÚDEZ, Luc DUPRÉ, Dolores GÓMEZ, Pablo VENEGAS: Electromagnetic computations with Preisach hysteresis model. Finite Elements in Analysis and Design, vol. 116, pp. 65-74 (2017).

Rodolfo ARAYA, Klaus BATAILLE, Nicole CATALAN: Depth-dependent geometry of the Liquine-Ofqui fault zone and its relation to paths of slab-derived fluids. Geophysical Research Letters, vol. 44, 21, pp. 10916-10920, (2017).

Alfredo BERMÚDEZ, Marta PIÑEIRO, Rodolfo RODRÍGUEZ, Pilar SALGADO: Analysis of an ungauged T,\phi - \phi formulation of the eddy current problem with currents and voltage excitations. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 51, 6, pp. 2487-2509, (2017).

Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A posteriori error analysis of a fully-mixed formulation for the Brinkman-Darcy problem. Calcolo, vol. 54, 4, pp. 1491-1519, (2017).

Carlos GARCIA, Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A fully discrete scheme for the pressure-stress formulation of the time-domain fluid-structure interaction problem. Calcolo, vol. 54, 4, pp. 1419-1439, (2017).

David MORA, Gonzalo RIVERA, Rodolfo RODRÍGUEZ: A posteriori error estimates for a virtual elements method for the Steklov eigenvalue problem. Computers & Mathematics with Applications, vol. 74, 9, pp. 2172-2190, (2017).

Antonio BAEZA, Sebastiano BOSCARINO, Pep MULET, Giovanni RUSSO, David ZORÍO: Approximate Taylor methods for ODEs. Computer and Fluids, vol. 159, pp. 156-166, (2017).

Carlos GARCIA, Gabriel N. GATICA, Salim MEDDAHI: Finite element semidiscretization of a pressure-stress formulation for the time-domain fluid-structure interaction problem. IMA Journal of Numerical Analysis, vol. 37, 4, pp. 1772-1799, (2017).

Veronica ANAYA, David MORA, Ricardo RUIZ-BAIER: Pure vorticity formulation and Galerkin discretization for the Brinkman equations. IMA Journal of Numerical Analysis, vol. 37, 4, pp. 2020-2041, (2017).

Ana ALONSO-RODRIGUEZ, Jessika CAMAÑO, Riccardo GHILONI, Alberto VALLI: Graphs, spanning trees and divergence-free finite elements in domains of general topology. IMA Journal of Numerical Analysis, vol. 37, 4, pp. 1986-2003, (2017).

Johnny GUZMAN, Filander A. SEQUEIRA, Chi - Wang SHU: H(div) conforming and DG methods for the incompressible Euler equations. IMA Journal of Numerical Analysis, vol. 37, 4, pp. 1733-1771, (2017).

Daniele BOFFI, Lucia GASTALDI, Rodolfo RODRÍGUEZ, Ivana SEBESTOVA: Residual-based a posteriori error estimation for the Maxwell eigenvalue problem. IMA Journal of Numerical Analysis, vol. 37, 4, pp. 1710-1732, (2017).

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL: A simulation model for settling tanks with varying cross-sectional area. Chemical Engineering Communications, vol. 204, 11, pp. 1270-1281, (2017).

Rodolfo ARAYA, Christopher HARDER, Abner POZA, Frederic VALENTIN: Multiscale hybrid-mixed method for the Stokes and Brinkman equations - The method. Computer Methods in Applied Mechanics and Engineering, vol. 324, pp. 29-53, (2017).

Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model. Calcolo, vol. 54, 3, pp. 1055-1095, (2017).

Raimund BÜRGER, Sudarshan K. KENETTINKARA, David ZORÍO: Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. Computers & Mathematics with Applications, vol. 74, 6, pp. 1288-1310, (2017)

Carlos GARCIA, Gabriel N. GATICA, Salim MEDDAHI: A new mixed finite element method for elastodynamics with weak symmetry. Journal of Scientific Computing, vol. 72, 3, pp. 1049-1079, (2017).

Julio ARACENA, Adrien RICHARD, Lilian SALINAS: Number of fixed points and disjoint cycles in monotone Boolean networks. SIAM Journal on Discrete Mathematics, vol. 31, 3, pp. 1702-1725, (2017).

Rolando BISCAY, Juan C. JIMENEZ, Hernán MARDONES, Carlos M. MORA, Mónica SELVA: A stable numerical scheme for stochastic differential equations with multiplicative noise. SIAM Journal on Numerical Analysis, vol. 55, 4, pp. 1614-1649, (2017).

Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity. Numerical Methods for Partial Differential Equations, vol. 33, 5, pp. 1692-1725, (2017).

Tomás BARRIOS, Rommel BUSTINZA, Felipe SANCHEZ: Analysis of DG approximations for Stokes problem based on velocity- pseudostress formulation. Numerical Methods for Partial Differential Equations, vol. 33, 5, pp. 1540-1564, (2017).

Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA, Ivana SEBESTOVA: A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Journal of Numerical Mathematics, vol. 25, 2, pp. 55-88, (2017).

Leonardo E. FIGUEROA: Orthogonal polynomial projection error measured in Sobolev norms in the unit ball. Journal of Approximation Theory, vol. 220, pp. 31-43, (2017).

Leonardo E. FIGUEROA: Orthogonal polynomial projection error measured in Sobolev norms in the unit disk. Constructive Approximation, vol. 46, 1, pp. 171-197, (2017).

Julio ARACENA, Adrien RICHARD, Lilian SALINAS: Fixed points in conjunctive networks and maximal independent sets in graph contractions. Journal of Computer and System Sciences, vol. 88, pp. 145-163, (2017).

Ricardo OYARZÚA, Paulo ZUÑIGA: Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters. Journal of Computational and Applied Mathematics, vol. 323, pp. 71-94, (2017).

Lourenco BEIRAO-DA-VEIGA, David MORA, Gonzalo RIVERA, Rodolfo RODRÍGUEZ: A virtual element method for the acoustic vibration problem. Numerische Mathematik, vol. 136, 3, pp. 725-763, (2017).

Raimund BÜRGER, Stefan DIEHL, María Carmen MARTÍ, Pep MULET, Ingmar NOPENS, Elena TORFS, Peter VANROLLEGHEM: Numerical solution of a multi-class model for batch settling in water resource recovery facilities. Applied Mathematical Modelling, vol. 49, pp. 415-436, (2017).

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL: Entropy solutions of a scalar conservation law modelling sedimentation in vessels with varying cross-sectional area. SIAM Journal on Applied Mathematics, vol. 77, 2, pp. 789-811, (2017).

Rodolfo ARAYA, Klaus BATAILLE, Nicole CATALAN, Andres TASSARA: Depth-dependent geometry of margin-parallel strike-slip faults within oblique subduction zones. Andean Geology, vol. 44, 1, pp. 79-86, (2017).

Gabriel N. GATICA, Filander A. SEQUEIRA: Analysis of the HDG method for the Stokes-Darcy coupling. Numerical Methods for Partial Differential Equations, vol. 33, 3, pp. 885-917, (2017).

Ernesto CÁCERES, Gabriel N. GATICA, Filander A. SEQUEIRA: A mixed virtual element method for the Brinkman problem. Mathematical Models and Methods in Applied Sciences, vol. 27, 4, pp. 707-743, (2017).

Veronica ANAYA, David MORA, Carlos REALES, Ricardo RUIZ-BAIER: Mixed methods for a stream-function – vorticity formulation of the axisymmetric Brinkman equations. Journal of Scientific Computing, vol. 71, 1, pp. 348-364, (2017).

Marco DISCACCIATI, Ricardo OYARZÚA: A conforming mixed finite element method for the Navier-Stokes/Darcy coupled problem. Numerische Mathematik, vol. 135, no. 2, pp. 571-606, (2017).

Huangxin CHEN, Weifeng QIU, Ke SHI, Manuel SOLANO: A superconvergent HDG method for the Maxwell equations. Journal of Scientific Computing, vol. 70, 3, pp. 1010-1029, (2017).

Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: An augmented fully-mixed finite element method for the stationary Boussinesq problem. Calcolo, vol. 54, 1, pp. 167-205, (2017).

Sophie BALEMANS, Raimund BÜRGER, Stefan DIEHL, Pierre FRANCOIS, Julien LAURENT, Florent LOCATELLI, María Carmen MARTÍ, Ingmar NOPENS, Elena TORFS, Peter VANROLLEGHEM: Concentration-driven models revisited: Towards a unified framework to model settling tanks in water resource recovery facilities. Water Science and Technology, vol. 75, 3, pp. 539-551, (2017).

Ernesto CÁCERES, Gabriel N. GATICA: A mixed virtual element method for the pseudostress-velocity formulation of the Stokes problem. IMA Journal of Numerical Analysis, vol. 37, 1, pp. 296-331, (2017).

Jessika CAMAÑO, Ricardo OYARZÚA, Giordano TIERRA: Analysis of an augmented mixed-FEM for the Navier-Stokes problem. Mathematics of Computation, vol. 86, 304, pp. 589-615, (2017).

Sergio CAUCAO, Gabriel N. GATICA, Ricardo OYARZÚA: A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Computer Methods in Applied Mechanics and Engineering, vol. 315, pp. 943-971, (2017).

Sophie BALEMANS, Raimund BÜRGER, Stefan DIEHL, Pierre FRANCOIS, Julien LAURENT, Florent LOCATELLI, Ingmar NOPENS, Elena TORFS: On constitutive functions for hindered settling velocity in 1-D settler models: selection of appropriate model structure. Water Research, vol. 110, 1, pp. 38-47, (2017).

Akhlesh LAKHTAKIA, Peter MONK, Cinthya RIVAS, Rodolfo RODRÍGUEZ, Manuel SOLANO: Asymptotic model for finite-element calculations of diffraction by shallow metallic surface-relief gratings. Journal of the Optical Society of America A, vol. 34, 1, pp. 68-79, (2017).

Juan C. JIMENEZ, Carlos M. MORA, Mónica SELVA: A weak local linearization scheme for stochastic differential equations with multiplicative noise. Journal of Computational and Applied Mathematics, vol. 313, pp. 202-217, (2017).

Raimund BÜRGER, Ricardo RUIZ-BAIER, Canrong TIAN: Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator–prey model. Mathematics and Computers in Simulation, vol. 132, pp. 28-52, (2017).

Weifeng QIU, Manuel SOLANO, Patrick VEGA: A high order HDG method for curved-interface problems via approximations from straight triangulations. Journal of Scientific Computing, vol. 69, 3, pp. 1384-1407, (2016).

Gabriel N. GATICA, Filander A. SEQUEIRA: A priori and a posteriori error analyses of an augmented HDG method for a class of quasi-Newtonian Stokes flows. Journal of Scientific Computing, vol. 69, 3, pp. 1192-1250, (2016).

Gabriel N. GATICA, Ricardo RUIZ-BAIER, Giordano TIERRA: A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity. Computers & Mathematics with Applications, vol. 72, 9, pp. 2289-2310, (2016).

Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A posteriori error analysis for a viscous flow-transport problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 50, 6, pp. 1789-1816, (2016).

Ricardo OYARZÚA, Ricardo RUIZ-BAIER: Locking-free finite element methods for poroelasticity. SIAM Journal on Numerical Analysis, vol. 54, 5, pp. 2951-2973, (2016).

Eligio COLMENARES, Michael NEILAN: Dual-mixed finite element methods for the stationary Boussinesq problem. Computers & Mathematics with Applications, vol. 72, 7, pp. 1828-1850, (2016).

Luis M. CASTRO, Víctor H. LACHOS, Larissa A. MATOS: Censored mixed-effects models for irregularly observed repeated measures with applications to HIV viral loads. Test, vol. 25, 4, pp. 627-653, (2016).

Luis M. CASTRO, José GONZÁLEZ, Víctor H. LACHOS, Alexandre PATRIOTA: A confidence set analysis for observed samples: A fuzzy set approach. Entropy, vol. 18, 211, pp. 1-22, (2016).

Guillaume CHIAVASSA, María Carmen MARTÍ, Pep MULET: Hybrid WENO schemes for polydisperse sedimentation models. International Journal of Computer Mathematics, vol. 93, 11, pp. 1801-1817, (2016).

Stefan BERRES, Aníbal CORONEL, Richard LAGOS, Mauricio SEPÚLVEDA: Performance of a real coded genetic algorithm for the calibration of scalar conservation laws. The ANZIAM Journal, vol. 58, 1, pp. 51-77, (2016).

Alfredo BERMÚDEZ, Rafael MUÑOZ-SOLA, Carlos REALES, Rodolfo RODRÍGUEZ, Pilar SALGADO: A transient eddy current problem on a moving domain. Numerical analysis. Advances in Computational Mathematics, vol. 42, 4, pp. 757-789, (2016).

Veronica ANAYA, David MORA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem. Numerische Mathematik, vol. 133 , pp. 781-817, (2016).

Raimund BÜRGER, Julio CAREAGA, Stefan DIEHL, Camilo MEJÍAS, Ingmar NOPENS, Elena TORFS, Peter VANROLLEGHEM: Simulations of reactive settling of activated sludge with a reduced biokinetic model. Computers & Chemical Engineering, vol. 92, pp. 216-229, (2016).

Raimund BÜRGER, Sudarshan K. KENETTINKARA, Sarvesh KUMAR, Ricardo RUIZ-BAIER: Discontinuous approximation of viscous two-phase flow in heterogeneous porous media. Journal of Computational Physics, vol. 321, pp. 126-150, (2016).

Sebastian DOMINGUEZ, Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media. Advances in Computational Mathematics, vol. 42, 3, pp. 675-720, (2016).

Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem. Computer Methods in Applied Mechanics and Engineering, vol. 307, pp. 68-95, (2016).

Raimund BÜRGER, Pep MULET, Lihki RUBIO: Polynomial viscosity methods for multispecies kinematic flow models. Numerical Methods for Partial Differential Equations, vol. 32, 4, pp. 1265-1288, (2016).

Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: Antidiffusive Lagrangian-remap schemes for models of polydisperse sedimentation. Numerical Methods for Partial Differential Equations, vol. 32, 4, pp. 1109-1136, (2016).

Ana ALONSO-RODRIGUEZ, Jessika CAMAÑO, Rodolfo RODRÍGUEZ, Alberto VALLI: Assessment of two approximation methods for the inverse problem of electroencephalography. International Journal of Numerical Analysis and Modeling, vol. 13, 4, pp. 587-609, (2016).

Gabriel N. GATICA, George C. HSIAO, Salim MEDDAHI, Francisco J. SAYAS: New developments on the coupling of mixed-FEM and BEM for the three-dimensional exterior Stokes problem. International Journal of Numerical Analysis and Modeling, vol. 13, 3, pp. 457-492, (2016).

Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZÚA, Giordano TIERRA: An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity. SIAM Journal on Numerical Analysis, vol. 54, 2, pp. 1069-1092, (2016).

Sergio CAUCAO, David MORA, Ricardo OYARZÚA: A priori and a posteriori error analysis of a pseudostress-based mixed formulation of the Stokes problem with varying density. IMA Journal of Numerical Analysis, vol. 36, 2, pp. 947-983, (2016).

Carlos GARCIA, Gabriel N. GATICA, Salim MEDDAHI: A new mixed finite element analysis of the elastodynamic equations. Applied Mathematics Letters, vol. 59, pp. 48-55, (2016).

Adimurthi ADI, Veerappa G. GADDEMANE DYAVAPPA GOWDA, Sudarshan K. KENETTINKARA: On the convergence of a second order approximation of conservation laws with discontinuous flux. Bulletin of the Brazilian Mathematical Society, (New Series), vol. 47, 1, pp. 21-35, (2016).

Andrea BARTH, Raimund BÜRGER, Ilja KRÖKER, Christian ROHDE: Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach. Computers & Chemical Engineering, vol. 89, pp. 11-26, (2016).

Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: On second-order antidiffusive Lagrangian-remap schemes for multispecies kinematic flow models. Bulletin of the Brazilian Mathematical Society, (New Series), vol. 47, 1, pp. 187-200, (2016).

Sebastiano BOSCARINO, Raimund BÜRGER, Pep MULET, Giovanni RUSSO, Luis M. VILLADA: On linearly implicit IMEX Runge-Kutta methods for degenerate convection-diffusion problems modeling polydisperse sedimentation. Bulletin of the Brazilian Mathematical Society, (New Series), vol. 47, 1, pp. 171-185, (2016).

Raimund BÜRGER, Stefan DIEHL, Camilo MEJÍAS: On time discretizations for the simulation of the batch settling-compression process in one dimension. Water Science and Technology, vol. 73, 5, pp. 1010-1017, (2016).

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: A note on a priori error estimates for augmented mixed methods. Applied Mathematics Letters, vol. 57, pp. 139-144, (2016).

Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: A mixed-primal finite element approximation of a steady sedimentation-consolidation system. Mathematical Models and Methods in Applied Sciences, vol. 26, 5, pp. 867-900, (2016).

Julio ARACENA, Eduardo PALMA, Lilian SALINAS: Enumeration and extension of non-equivalent deterministic update schedules in Boolean networks. Bioinformatics, vol. 32, 5, pp. 722-729, (2016).

Tomás BARRIOS, Rommel BUSTINZA, Víctor DOMÍNGUEZ: Adaptive numerical solution of a discontinuous Galerkin method for a Helmholtz problem in low-frequency regime. Journal of Computational and Applied Mathematics, vol. 300, pp. 312-340, (2016).

Gabriel N. GATICA, Luis F. GATICA, Filander A. SEQUEIRA: A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity. Computers & Mathematics with Applications, vol. 71, 2, pp. 585-614, (2016).

Rodolfo ARAYA, Abner POZA, Frederic VALENTIN: A low-order local projection method for the incompressible Navier-Stokes equations in two and three dimensions. IMA Journal of Numerical Analysis, vol. 36, 1, pp. 267-295, (2016).

Felipe LEPE, David MORA, Rodolfo RODRÍGUEZ: Finite element analysis of a bending moment formulation for the vibration problem of a non-homogeneous Timoshenko beam. Journal of Scientific Computing, vol. 66, 2, pp. 825-848, (2016)

Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem. Numerical Methods for Partial Differential Equations, vol. 32, 2, pp. 445-478, (2016).

Eligio COLMENARES, Gabriel N. GATICA, Ricardo OYARZÚA: Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem. Comptes Rendus Mathematique, vol. 354, 1, pp. 57-62, (2016).

Fernando BETANCOURT, Christian ROHDE: Finite-volume schemes for Friedrichs system with involutions. Applied Mathematics and Computation, vol. 272, pp. 420-439, (2016).

Eduardo LARA, Rodolfo RODRÍGUEZ, Pablo VENEGAS: Spectral approximation of the curl operator in multiply connected domains. Discrete and Continuous Dynamical Systems - Series S, vol. 9, 1, pp. 235-253, (2016).

Salim MEDDAHI, David MORA: Nonconforming mixed finite element approximation of a fluid-structure interaction spectral problem. Discrete and Continuous Dynamical Systems - Series S, vol. 9, 1, pp. 269-287, (2016).

Gabriel N. GATICA, Ricardo RUIZ-BAIER, Giordano TIERRA: A mixed finite element method for Darcy s equations with pressure dependent porosity. Mathematics of Computation, vol. 85, 297, pp. 1-33, (2016).

Raimund BÜRGER, Gerardo CHOWELL, Pep MULET, Luis M. VILLADA: Modelling the spatial-temporal evolution of the 2009 A/H1N1 influenza pandemic in Chile. Mathematical Biosciences and Engineering, vol. 13, 1, pp. 43-65, (2016).

Carolina DOMINGUEZ, Gabriel N. GATICA, Antonio MARQUEZ: A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions. Journal of Computational and Applied Mathematics, vol. 292, pp. 486-504, (2016).

Anahi GAJARDO, Diego MALDONADO, Andres MOREIRA: Universal Time-Symmetric Number-Conserving Cellular Automaton. In: Cellular Automata and Discrete Complex System. Lecture Notes in Computer Science, Proceedings of the 21st IFIP WG 1.5 International Workshop, AUTOMATA 2015, Turku, Finland, June 8-10, 2015. Jarkko Kari (Ed.). Lecture Notes in Computer Science, vol 9099, pp. 155-168, (2015).

Anahi GAJARDO, Nicolas OLLINGER, Rodrigo TORRES: The transitivity problem of Turing machines. Lecture Notes in Computer Science, Proceedings of the 40th International Symposium MFCS 2015, Milan, Italy, August 24-28, 2015 (Part I). G.F Italiano, et al. (Eds.). Lecture Notes in Computer Science, vol. 9234, pp. 231-242, (2015)

Anahi GAJARDO, Nicolas OLLINGER, Rodrigo TORRES: Some undecidable problems about the trace-subshift associated to a Turing machine. Discrete Mathematics & Theoretical Computer Science, vol. 17, 2, pp. 267-284, (2015).

Fabián FLORES-BAZÁN, Nicolás HADJISAVVAS, Felipe LARA: Second order asymptotic analysis: basic theory. Journal of Convex Analysis, vol. 22, 4, pp. 1173-1196, (2015).

Carolina DOMINGUEZ, Gabriel N. GATICA, Salim MEDDAHI: A posteriori error analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem. Journal of Computational Mathematics, vol. 33, 6, pp. 606-641, (2015).

Gabriel N. GATICA, Filander A. SEQUEIRA: Analysis of an augmented HDG method for a class of quasi-Newtonian Stokes flows. Journal of Scientific Computing, vol. 65, 3, pp. 1270-1308, (2015).

Fernando BETANCOURT, Fernando CONCHA, Lina URIBE: Settling velocities of particulate systems part 17. Settling velocities of individual spherical particles in power-law non-Newtonian fluids. International Journal of Mineral Processing, vol. 143, pp.125-130, (2015)

Alfredo BERMÚDEZ, Dolores GÓMEZ, Rodolfo RODRÍGUEZ, Pablo VENEGAS: Numerical analysis of a transient non-linear axisymmetric eddy current model. Computers & Mathematics with Applications, vol. 70, 8, pp. 1984-2005, (2015).

Fabián FLORES-BAZÁN, Fernando FLORES-BAZÁN, Cristian VERA: Maximizing and minimizing quasiconvex functions: related properties, existence and optimality conditions via radial epiderivatives. Journal of Global Optimization, vol. 63, 1, pp. 99-123, (2015).

Margareth ALVES, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: About analyticity for the coupled system of linear thermoviscoelastic equations. Applied Mathematics and Computation, vol. 270, pp. 943-952 (2015)

Greg BARBER, Muhammad FARYAD, Akhlesh LAKHTAKIA, Thomas MALLOUK, Peter MONK, Manuel SOLANO: Buffer layer between a planar optical concentrator and a solar cell. AIP Advances, vol. 5, 097150, (2015)

Erwan HINGANT, Mauricio SEPÚLVEDA: Derivation and mathematical study of a sorption-coagulation equation. Nonlinearity, vol. 28, 10, pp. 362-3661 (2015)

Rodolfo ARAYA, Nestor G. CERPA, Muriel GERBAULT, Riad HASSANI: Relationship between slab dip and topography segmentation in an oblique subduction zone: Insights from numerical modeling. Geophysical Research Letters, vol. 42, 14, pp. 5786-5795, (2015)

Carlos D. ACOSTA, Raimund BÜRGER, Carlos E. MEJIA: Efficient parameter estimation in a macroscopic traffic flow model by discrete mollification. Transportmetrica A: Transport Science, vol. 11, 8, pp. 702-715, (2015).

Mario ÁLVAREZ, Gabriel N. GATICA, Ricardo RUIZ-BAIER: An augmented mixed-primal finite element method for a coupled flow-transport problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 49, 5, pp. 1399-1427, (2015).

Franco FAGNOLA, Carlos M. MORA: On the relationship between a quantum Markov semigroup and its representation via linear stochastic Schrodinger equations. Indian Journal of Pure and Applied Mathematics, vol. 46, 4, pp. 399-414, (2015).

Veronica ANAYA, Gabriel N. GATICA, David MORA, Ricardo RUIZ-BAIER: An augmented velocity-vorticity-pressure formulation for the Brinkman problem. International Journal for Numerical Methods in Fluids, vol. 79, 3, pp. 109-137, (2015).

Jessika CAMAÑO, Gabriel N. GATICA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER, Pablo VENEGAS: New fully-mixed finite element methods for the Stokes-Darcy coupling. Computer Methods in Applied Mechanics and Engineering, vol. 295, pp. 362-395, (2015).

Lourenco BEIRAO-DA-VEIGA, Carlo LOVADINA, David MORA: A virtual element method for elastic and inelastic problems on polytope meshes. Computer Methods in Applied Mechanics and Engineering, vol. 295, pp. 327-346, (2015).

Raimund BÜRGER, Sarvesh KUMAR, Ricardo RUIZ-BAIER: Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation. Journal of Computational Physics, vol. 299, pp. 446-471, (2015).

Gabriel N. GATICA, Luis F. GATICA, Filander A. SEQUEIRA: A RT_k - P_k approximation for linear elasticity yielding a broken H(div) convergent postprocessed stress. Applied Mathematics Letters, vol. 49, pp. 133-140, (2015).

Zhixing FU, Luis F. GATICA, Francisco J. SAYAS: Algorithm 949: Matlab tools for HDG in three dimensions. ACM Transactions on Mathematical Software, vol 41, 3, Article 20, (2015).

Muhammad FARYAD, Akhlesh LAKHTAKIA, Peter MONK, Mikhail V. SHUBA, Manuel SOLANO: Adequacy of the rigorous coupled-wave approach for thin-film silicon solar cells with periodically corrugated metallic backreflectors: spectral analysis. Journal of the Optical Society of America A, vol. 32, 7, pp. 1222-1230, (2015).

Veronica ANAYA, Mostafa BENDAHMANE, Michael LANGLAIS, Mauricio SEPÚLVEDA: A convergent finite volume method for a model of indirectly transmitted diseases with nonlocal cross-diffusion. Computers & Mathematics with Applications, vol. 70, 2, pp. 132-157, (2015).

Raimund BÜRGER, Stefan DIEHL, Thomas MAERE, Ingmar NOPENS, Elena TORFS: Impact on sludge inventory and control strategies using the Benchmark Simulation Model No. 1 with the Bürger-Diehl settler model. Water Science and Technology, vol. 71, 10, pp. 1524-1535, (2015).

Aníbal CORONEL, Patricio CUMSILLE, Mauricio SEPÚLVEDA: Convergence of a level-set algorithm in scalar conservation laws. Numerical Methods for Partial Differential Equations, vol. 31, 4, pp. 1310-1343, (2015).

David MORA, Gonzalo RIVERA, Rodolfo RODRÍGUEZ: A virtual element method for the Steklov eigenvalue problem. Mathematical Models and Methods in Applied Sciences, vol. 25, 8, pp. 1421-1445, (2015).

Veronica ANAYA, David MORA, Carlos REALES, Ricardo RUIZ-BAIER: Stabilized mixed approximation of axisymmetric Brinkman flows. Mathematical Modelling and Numerical Analysis, vol. 49, 3, pp. 855-874, (2015).

Sebastiano BOSCARINO, Raimund BÜRGER, Pep MULET, Giovanni RUSSO, Luis M. VILLADA: Linearly implicit IMEX Runge-Kutta methods for a class of degenerate convection-diffusion problems. SIAM Journal on Scientific Computing, vol. 37, no. 2, pp. B305-B331, (2015).

Felipe MILLAR, David MORA: A finite element method for the buckling problem of simply supported Kirchhoff plates. Journal of Computational and Applied Mathematics, vol. 286, pp. 68-78, (2015).

Salim MEDDAHI, David MORA, Rodolfo RODRÍGUEZ: A finite element analysis of a pseudostress formulation for the Stokes eigenvalue problem. IMA Journal of Numerical Analysis, vol. 35, 2, pp. 749-766, (2015).

Fabián FLORES-BAZÁN, Giandomenico MASTROENI: Characterizing FJ and KKT conditions in nonconvex mathematical programming with applications. SIAM Journal on Optimization, vol. 25, 1, pp. 647-676, (2015).

Gabriel N. GATICA, Luis F. GATICA, Filander A. SEQUEIRA: Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow. Computer Methods in Applied Mechanics and Engineering, vol. 289, 1, pp. 104-130, (2015).

Fabián FLORES-BAZÁN, Fernando FLORES-BAZÁN, Sigifredo LAENGLE: Characterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interior. Journal of Optimization Theory and Applications, vol. 164, 2, pp. 455-478, (2015).

Veronica ANAYA, Mostafa BENDAHMANE, Mauricio SEPÚLVEDA: Numerical analysis for a three interacting species model with nonlocal and cross diffusion. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 49, 1, pp. 171-192, (2015).

Emilio CARIAGA, Rubén MARTÍNEZ, Mauricio SEPÚLVEDA: Estimation of hydraulic parameters under unsaturated flow conditions in heap leaching. Mathematics and Computers in Simulation, vol. 109, pp. 20-31, (2015).

Alfredo BERMÚDEZ, Dolores GÓMEZ, Rodolfo RODRÍGUEZ, Pablo VENEGAS: Mathematical analysis and numerical solution of axisymmetric eddy-current problems with Preisach hysteresis model. Rendiconti del Seminario Matematico. Universita e Politecnico Torino, vol. 72, 1-2, pp. 73 - 117, (2014).

Rodolfo ARAYA, Abner POZA, Frederic VALENTIN: An adaptive residual local projection finite element method for the Navier-Stokes equations. Advances in Computational Mathematics, vol. 40, 5-6, pp. 1093-1119, (2014).

Fabián FLORES-BAZÁN, Abderrahim JOURANI, Giandomenico MASTROENI: On the convexity of the value function for a class of nonconvex variational problems: Existence and optimality conditions. SIAM Journal on Control and Optimization, vol. 52, 6, pp. 3673-3693, (2014).

Salim MEDDAHI, David MORA, Rodolfo RODRÍGUEZ: Finite element analysis for a pressure-stress formulation of a fluid-structure interaction spectral problem. Computers & Mathematics with Applications, vol. 68, 12-A, pp. 1733-1750, (2014).

Teresa ÁLVAREZ, Jacques-damien ARNAUD, Pascaline FONTES, Erwan HINGANT, Jean-pierre LIAUTARD, Laurent PUJO-MENJOUET: A micellar on-pathway intermediate step explains the kinetics of prion amyloid formation. PLoS Computational Biology, vol. 10, 8, pp. e1003735, (2014).

Mohamed HELAL, Erwan HINGANT, Laurent PUJO-MENJOUET, Glenn WEBB: Alzheimers disease: analysis of a mathematical model incorporating the role of prions. Journal of Mathematical Biology, vol. 69, 5, pp. 1207-1235, (2014).

Jorge CLARKE, Ciprian A. TUDOR: Hitting times for the stochastic wave equation with fractional-colored noise. Revista Matemática Iberoamericana, vol. 30, 2, pp. 685-709, (2014).

Raimund BÜRGER, Ilja KRÖKER, Christian ROHDE: A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), vol. 94, 10, pp. 793-817, (2014).

Muhammad FARYAD, Akhlesh LAKHTAKIA, Peter MONK, Manuel SOLANO: Comparison of rigorous coupled-wave approach and finite element method for photovoltaic devices with periodically corrugated metallic backreflector. Journal of the Optical Society of America A, vol. 31, 10, pp. 2275-2284, (2014).

Jorge CLARKE, Ciprian A. TUDOR: Wiener integrals with respect to the Hermite random field and applications to the wave equation. Collectanea Mathematica, vol. 65, 3, pp. 341-356, (2014).

Ana ALONSO-RODRIGUEZ, Jessika CAMAÑO, Rodolfo RODRÍGUEZ, Alberto VALLI: A posteriori error estimates for the problem of electrostatics with a dipole source. Computers & Mathematics with Applications, vol. 68, 4, pp. 464-485, (2014).

Felipe LEPE, David MORA, Rodolfo RODRÍGUEZ: Locking-free finite element method for a bending moment formulation of Timoshenko beams. Computers & Mathematics with Applications, vol. 68, 3, pp. 118-131, (2014).

Ricardo OYARZÚA, Tong QIN, Dominik SCHÖTZAU: An exactly divergence-free finite element method for a generalized Boussinesq problem. IMA Journal of Numerical Analysis, vol. 34, 3, pp. 1104-1135, (2014).

Margareth ALVES, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Gain of regularity for a Benney-Lin equation type. Quarterly Journal of Mathematics, vol. 65, 2, pp. 459-483, (2014).

Fabián FLORES-BAZÁN: A Fritz John necessary optimality condition of the alternative-type. Journal of Optimization Theory and Applications, vol. 161, 3, pp. 807-818, (2014).

Gabriel CARCAMO, Fabián FLORES-BAZÁN: A geometric characterization of strong duality in nonconvex quadratic programming with linear and nonconvex quadratic constraints. Mathematical Programming, vol. 145, 1-2, pp. 263-290, (2014).

Julio ARACENA, Adrien RICHARD, Lilian SALINAS: Maximum number of fixed points in AND-OR Boolean network. Journal of Computer and System Sciences, vol. 80, pp. 1175-1190, (2014).

Fernando BETANCOURT, Raimund BÜRGER, Stefan DIEHL, Camilo MEJÍAS: Advance methods of flux identification for Clarifier-Thickener simulation models. Minerals Engineering, vol. 63, pp. 2-15, (2014).

Fernando BETANCOURT, Raimund BÜRGER, Stefan DIEHL, Sebastian FARåS: Modelling and controlling clarifier-thickeners fed by suspensions with time-dependent properties. Minerals Engineering, vol. 62, pp. 91-101, (2014).

Carlos D. ACOSTA, Raimund BÜRGER, Carlos E. MEJIA: A stability and sensitivity analysis of parametric functions in a sedimentation model. Dyna, vol. 81, 183, pp. 22-30, (2014).

Felix DIETZSCH, Luis HERVELLA-NIETO, Steffen MARBURG, Rodolfo RODRÍGUEZ, Hannah WEISBECKER: Physical and spurious modes in mixed finite element formulation for the Galbrun equation. Acta Acustica united with Acustica, vol. 100, 3, pp. 493-512, (2014).

Gabriel N. GATICA, Norbert HEUER, Salim MEDDAHI: Coupling of mixed finite element and stabilized boundary element methods for a fluid-solid interaction problem in 3D. Numerical Methods for Partial Differential Equations, vol. 30, 4, pp. 1211-1233, (2014).

Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: Analysis of an augmented fully-mixed finite element method for a three-dimensional fluid-solid interaction problem. International Journal of Numerical Analysis and Modeling, vol. 11, 3, pp. 624-656, (2014).

Margareth ALVES, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA, María ZEGARRA-GARAY: The asymptotic behaviour of the linear transmission problem in viscoelasticity. Mathematische Nachrichten, vol. 287, 5-6, pp. 483-497, (2014).

Margareth ALVES, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Exponential and the lack of exponential stability in transmission problems with localized Kelvin-Voigt dissipation. SIAM Journal on Applied Mathematics, vol. 74, 2, pp. 345-365, (2014).

Gabriel N. GATICA, Luis F. GATICA, Antonio MARQUEZ: Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow. Numerische Mathematik, vol. 126, 4, pp. 635-677, (2014).

Paola ANTONIETTI, Lourenco BEIRAO-DA-VEIGA, David MORA, Marco VERANI: A stream virtual element formulation of the Stokes problem on polygonal meshes. SIAM Journal on Numerical Analysis, vol. 52, 1, pp. 386-404, (2014).

Bernardo COCKBURN, Weifeng QIU, Manuel SOLANO: A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity. Mathematics of Computation, vol. 83, 286, pp. 665-699, (2014).

Ana I. GARRALDA GUILLEM, Gabriel N. GATICA, Antonio MARQUEZ, Manuel RUIZ GALAN: A posteriori error analysis of twofold saddle point variational formulations for nonlinear boundary value problems. IMA Journal of Numerical Analysis, vol. 34, 1, pp. 326-361, (2014).

Rodolfo ARAYA, Pablo VENEGAS: An a posteriori error estimator for an unsteady advection-diffusion-reaction problem. Computers & Mathematics with Applications, vol. 66, 12, pp. 2456-2476, (2014).

Gabriel N. GATICA, Antonio MARQUEZ, Ricardo OYARZÚA, Ramiro REBOLLEDO: Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media. Computer Methods in Applied Mechanics and Engineering, vol. 270, 1, pp. 76-112, (2014).

Rodolfo RODRÍGUEZ, Pablo VENEGAS: Numerical approximation of the spectrum of the curl operator. Mathematics of Computation, vol. 83, 286, pp. 553-577, (2014).

Abul BAKI, Felipe BRETÓN, Oscar LINK, Nallamuthu RAJARATNAM, David ZHU: Flow in nature-like fishway and its relation to fish behaviour. Canadian Jounal of Civil Engineering, vol. 40, pp. 567-573, (2013).

Muhammad FARYAD, Akhlesh LAKHTAKIA, Thomas MALLOUK, Peter MONK, Mazen SAAD, Manuel SOLANO: Periodically multilayered planar optical concentrator for photovoltaic solar cells. Applied Physics Letters, vol. 103, 191115, (2013).

Evelyn HABIT, Oscar LINK, Caterina SOBENNES: Density-dependent microhabitat selection in Galaxias platei: An experimental study. Gayana, vol. 77, 1, pp. 35-42, (2013).

Alberto ARANEDA, Ricardo FIGUEROA, Marcelo GEVARA, Oscar LINK, Pablo PEDREROS, Alejandra STHER, Roberto URRUTIA: Thermal behavior of mediterranean andean streams in south-central Chile. Limnética, vol. 32, 1, pp. 87-96, (2013).

Mauricio AGUAYO, Anibal HUERTA, Oscar LINK, Claudio MEIER, Angel MONSALVE, Alejandra STHER: The solar to stream power ratio: A dimensionless number explaining diel fluctualions of temperature in mesoscale rivers. River Research and Applications, vol. 29, 6, pp. 792-803, (2013).

Subhasish DEY, Kai KLISCHIES, Oscar LINK, Gonzalo MONTALVA: Effects of bed compaction on scour at a bridge pier in sandy clay mixtures. Journal of Hydraulic Engineering, vol. 139, 9, pp. 1013-1019, (2013).

Fernando BETANCOURT, Fernando CONCHA, Daniel SBÁRBARO: Simple mass balance controllers for continuous sedimentation. Computers & Chemical Engineering, vol. 54, pp. 34-43, (2013).

Rodolfo ARAYA, Christopher HARDER, Diego PAREDES, Frederic VALENTIN: Multiscale hybrid-mixed method. SIAM Journal on Numerical Analysis, vol. 51, 6, pp. 3483-3504, (2013).

Alfredo BERMÚDEZ, Rafael MUÑOZ-SOLA, Carlos REALES, Rodolfo RODRÍGUEZ, Pilar SALGADO: Mathematical and numerical analysis of a transient eddy current problem arising from electromagnetic forming. SIAM Journal on Mathematical Analysis, vol. 45, 6, pp. 3629-3650, (2013)

Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: Anti-diffusive and random-sampling Lagrangian-remap schemes for the multi-class Lighthill-Whitham-Richards traffic model. SIAM Journal on Scientific Computing, vol. 35, 6, pp. 1341-1368, (2013)

Veronica ANAYA, David MORA, Ricardo RUIZ-BAIER: An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations. Computer Methods in Applied Mechanics and Engineering, vol. 267, 1, pp. 261-274, (2013).

Alfredo BERMÚDEZ, Dolores GÓMEZ, Rodolfo RODRÍGUEZ, Pilar SALGADO, Pablo VENEGAS: Numerical solution of a transient non-linear axisymmetric eddy current model with non-local boundary conditions. Mathematical Models and Methods in Applied Sciences, vol. 23, 13, pp. 2495-2521, (2013).

Lourenco BEIRAO-DA-VEIGA, Carlo LOVADINA, David MORA: Numerical results for mimetic discretization of Reissner-Mindlin plate problems. Calcolo, vol. 50, 3, pp 209-237, 2013.

Julio ARACENA, Laurence CALZONE, Jean - Paul COMET, Jacques DEMONGEOT, Marcelle KAUFMAN, Aurélien NALDI, Adrien RICHARD, El Houssine SNOUSSI, Denis THIEFFRY: On circuit functionality in Boolean networks. Bulletin of Mathematical Biology, vol. 75, 6, pp. 906-919, (2013).

Raimund BÜRGER, Pep MULET, Luis M. VILLADA: A diffusively corrected multiclass Lighthill-Whitham-Richards traffic model with anticipation lengths and reaction times. Advances in Applied Mathematics and Mechanics, vol. 5, 5, pp. 728-758, (2013) .

Franco FAGNOLA, Carlos M. MORA: Linear stochastic Schrödinger equations with unbounded coefficients. ALEA-Latin American Journal of Probability and Mathematical Statistics, vol. 10, 1, pp. 191-223, (2013).

Carlos M. MORA: Regularity of solutions to quantum master equations: A stochastic approach. Annals of Applied Probability, vol. 41, 3B, pp. 1978-2012, (2013).

Raimund BÜRGER, Stefan DIEHL, Sebastian FARåS, Ingmar NOPENS, Elena TORFS: A consistent modelling methodology for secondary settling tanks: A reliable numerical method. Water Science and Technology, vol. 68, 1, pp. 192-208, (2013).

Raimund BÜRGER, Pep MULET, Luis M. VILLADA: Regularized nonlinear solvers for IMEX methods applied to diffusively corrected multi-species kinematic flow models. SIAM Journal on Scientific Computing, 35 (3), pp. B751-B777, (2013).

Fabián FLORES-BAZÁN, Elvira HERNÁNDEZ: A unified vector optimization problem: complete scalarizations and applications. Journal of Global Optimization, vol. 56, 2, pp. 299-315, (2013).

Vanilde BISOGNIN, Celene BURIOL, Marcio V. FERREIRA, Mauricio SEPÚLVEDA, Octavio VERA: Asymptotic behaviour for a nonlinear Schrodinger equation in domains with moving boundaries. Acta Applicandae Mathematicae, vol. 125, 1, pp. 159-172, (2013).

Gabriel N. GATICA, Antonio MARQUEZ, Walter RUDOLPH: A priori and a posteriori error analyses of augmented twofold saddle point formulations for nonlinear elasticity problems. Computer Methods in Applied Mechanics and Engineering, vol. 264, 1, pp. 23-48, (2013).

Gabriel N. GATICA, George C. HSIAO, Salim MEDDAHI, Francisco J. SAYAS: On the dual-mixed formulation for an exterior Stokes problem. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), vol. 93, 6-7, pp. 437-445, (2013).

Raimund BÜRGER, Pep MULET, Luis M. VILLADA: Spectral WENO schemes with adaptive mesh refinement for models of polydisperse sedimentation. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), vol. 93, 6-7, pp. 373-386, (2013).

Julio ARACENA, Jacques DEMONGEOT, Eric FANCHON, Marco MONTALVA: On the number of update digraphs and its relation with the feedback arc sets and tournaments. Discrete Applied Mathematics, vol. 161, 10-11, pp. 1345-1355, (2013).

Alfredo BERMÚDEZ, Bibiana LÓPEZ-RODRÍGUEZ, Rodolfo RODRÍGUEZ, Pilar SALGADO: An eddy current problem in terms of a time-primitive of the electric field with non-local source conditions. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 47, 3, pp. 875-902, (2013).

Salim MEDDAHI, David MORA, Rodolfo RODRÍGUEZ: Finite element spectral analysis for the mixed formulation of the elasticity equations. SIAM Journal on Numerical Analysis, vol. 51, 2, pp. 1041-1063, (2013).

Margareth ALVES, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Stabilization in three-dimensional porous thermoviscoelastic mixtures. Quarterly Journal of Mathematics, vol. 64, 1, pp. 37-57, (2013).

Raimund BÜRGER, Stefan DIEHL: Convexity-preserving flux identification for scalar conservation laws modelling sedimentation. Inverse Problems, vol. 29, 4, pp. 045008, (2013).

Fabián FLORES-BAZÁN, Sigifredo LAENGLE, Gino LOYOLA: Characterizing the efficient points without closedness or free-disposability. Central European Journal of Operations Research, vol. 21, 2, pp. 401-410, (2013).

Julio ARACENA, Jacques DEMONGEOT, Eric FANCHON, Marco MONTALVA: On the number of different dynamics in Boolean networks with deterministic update schedules. Mathematical Biosciences, vol. 242, 2, pp. 188-194, (2013).

Fabián FLORES-BAZÁN, Giandomenico MASTROENI: Strong duality in cone constrained nonconvex optimization: a general approach with applications to nonconvex variational problems. SIAM Journal on Optimization, vol. 23, 1, pp. 153-169, (2013).

Raimund BÜRGER, Enrique D. FERNÁNDEZ NIETO, El Hadji KONÉ, Tomás MORALES DE LUNA: A multilayer shallow water system for polydisperse sedimentation. Journal of Computational Physics, vol. 238, pp. 281-314, (2013).

Carolina DOMINGUEZ, Gabriel N. GATICA, Salim MEDDAHI, Ricardo OYARZÚA: A priori error analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 47, 2, pp. 471-506, (2013).

Margareth ALVES, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA, María ZEGARRA-GARAY: The asymptotic behaviour of the linear transmission problem in viscoelasticity. Journal of Mathematical Analysis and Applications, vol. 399, 2, pp. 472-479, (2013).

Lourenco BEIRAO-DA-VEIGA, David MORA, Rodolfo RODRÍGUEZ: Numerical analysis of a locking-free mixed finite element method for a bending moment formulation of Reissner-Mindlin plate model. Numerical Methods for Partial Differential Equations, vol. 29, 1, pp. 40-63, (2013).

Julio ARACENA, Luis GOMEZ, Lilian SALINAS: Limit cycles and update digraphs in Boolean networks. Discrete Applied Mathematics, vol. 161, 1-2, pp. 1-12, (2013).

Anahi GAJARDO, Nicolas OLLINGER, Rodrigo TORRES: Undecidability of the surjectivity of the subshift associated to a Turing machine. Lecture Notes in Computer Science, vol. 7581, pp. 44-56, (2012).

Fabián FLORES-BAZÁN, Antoine SOUBEYRAN, Dinh THE LUC: Maximal elements under reference-dependent preferences with applications to behavioral traps and games. Journal of Optimization Theory and Applications, vol. 155, 3, pp. 883-901, (2012).

Mauricio SEPÚLVEDA: Stabilization of a second order scheme for a GKdV-4 equation modelling surface water waves. Calcolo, vol. 49, 4, pp. 269-291, (2012).

Claudio PADRA, Rodolfo RODRÍGUEZ, Mario SCHEBLE: An hp finite element method to solve a fluid-solid vibration problem. SIAM Journal on Scientific Computing, vol. 34, 5, pp. A2533-A2557, (2012).

Carlos D. ACOSTA, Raimund BÜRGER: Difference schemes stabilized by discrete mollification for degenerate parabolic equations in two space dimensions. IMA Journal of Numerical Analysis, vol. 32, 4, pp. 1509-1540, (2012).

Fabián FLORES-BAZÁN, Felipe LARA: Inner and outer estimates for solution sets and their asymptotic cones in vector optimization. Optimization Letters, vol. 6, 7, pp. 1233-1249, (2012).

Jorge CLARKE, Ciprian A. TUDOR: Least squares estimator for the parameter of the fractional Ornstein-Uhlenbeck sheet. Journal of the Korean Statistical Society, vol. 41, 3, pp. 341-350, (2012).

Rommel BUSTINZA, Francisco J. SAYAS: Error estimates for an LDG method applied to Signorini type problems. Journal of Scientific Computing, vol. 52, 2, pp. 322-339, (2012).

Gabriel N. GATICA, Ricardo OYARZÚA, Francisco J. SAYAS: A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow. IMA Journal of Numerical Analysis, vol. 32, 3, pp. 845-887, (2012).

Alfredo BERMÚDEZ, Bibiana LÓPEZ-RODRÍGUEZ, Rodolfo RODRÍGUEZ, Pilar SALGADO: Numerical solution of transient eddy current problems with input current intensities as boundary data. IMA Journal of Numerical Analysis, vol. 32, 3, pp. 1001-1029, (2012).

Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: Analysis of the coupling of Lagrange and Arnold-Falk-Winther finite elements for a fluid-solid interaction problem in three dimensions. SIAM Journal on Numerical Analysis, vol. 50, 3, pp. 1648-1674, (2012).

Maria G. ARMENTANO, Claudio PADRA, Rodolfo RODRÍGUEZ, Mario SCHEBLE: An hp finite element adaptive method to compute the vibration modes of a fluid-solid coupled system. Computer Modeling in Engineering & Sciences, vol. 84, 4, pp. 359-382, (2012).

Tomás BARRIOS, Rommel BUSTINZA, Galina C. GARCÍA, Erwin HERNÁNDEZ: On stabilized mixed methods for generalized Stokes problem based on the velocity-pseudostress formulation: A priori error estimates. Computer Methods in Applied Mechanics and Engineering, vol. 237-240, pp 78-87, (2012).

Raimund BÜRGER, Ricardo RUIZ-BAIER, Hector TORRES: A stabilized finite volume element formulation for sedimentation-consolidation processes. SIAM Journal on Scientific Computing, vol. 34, 3, pp. B265-B289, (2012).

Fabián FLORES-BAZÁN, Fernando FLORES-BAZÁN, Cristian VERA: A complete characterization of strong duality in nonconvex optimization with a single constraint. Journal of Global Optimization, vol. 53, 2, pp. 185-201, (2012).

Jessika CAMAÑO, Rodolfo RODRÍGUEZ: Analysis of a FEM-BEM model posed on the conducting domain for the time-dependent eddy current problem. Journal of Computational and Applied Mathematics, vol. 236, 13, pp. 3084-3100, (2012).

Rodolfo ARAYA, Gabriel R. BARRENECHEA, Abner POZA, Frederic VALENTIN: Convergence analysis of a residual local projection finite element method for the Navier-Stokes equations. SIAM Journal on Numerical Analysis, vol. 50, 2, pp. 669-699, (2012).

Raimund BÜRGER, Stefan DIEHL, Sebastian FARåS, Ingmar NOPENS: On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment. Computers and Chemical Engineering, vol. 41, pp. 93-105, (2012).

Gabriel N. GATICA, Salim MEDDAHI: Finite element analysis of a time harmonic Maxwell problem with an impedance boundary condition. IMA Journal of Numerical Analysis, vol. 32, 2, pp. 534-552, (2012).

Raimund BÜRGER, Stefan DIEHL, Sebastian FARåS, Ingmar NOPENS, Elena TORFS: A reliable numerical method for secondary settling modelling. Communications in Agricultural and Applied Biological Sciences, vol. 77, 1, pp. 151-156, (2012).

Raimund BÜRGER, Rosa DONAT, Pep MULET, Carlos A. VEGA: On the hyperbolicity of certain models of polydisperse sedimentation. Mathematical Methods in the Applied Sciences, vol. 35, 6, pp. 723-744, (2012).

Anahi GAJARDO, Jarkko KARI, Andres MOREIRA: On time-symmetry in cellular automata. Journal of Computer and System Sciences, vol. 78, 4, pp. 1115-1126, (2012).

Rodolfo ARAYA, Abner POZA, Frederic VALENTIN: On a hierarchical error estimator combined with a stabilized method for the Navier–Stokes equations. Numerical Methods for Partial Differential Equations, vol. 28, 3, pp. 782–806, (2012).

Alfredo BERMÚDEZ, Carlos REALES, Rodolfo RODRÍGUEZ, Pilar SALGADO: Numerical analysis of a transient eddy current axisymmetric problem involving velocity terms. Numerical Methods for Partial Differential Equations, vol. 28, 3, pp. 984–1012, (2012).

Raimund BÜRGER, Ricardo RUIZ-BAIER, Kai SCHNEIDER, Hector TORRES: A multiresolution method for the simulation of sedimentation in inclined channels. International Journal of Numerical Analysis and Modeling, vol. 9, 3, pp. 479-504, (2012).

Margareth ALVES, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Stabilization of mixture of two rigid solids modeling temperature and porosity. Applied Mathematics Letters, vol. 25, 5, pp. 884-889, (2012).

Gabriel N. GATICA, George C. HSIAO, Francisco J. SAYAS: Relaxing the hypotheses of the Bielak-MacCamy BEM-FEM coupling. Numerische Mathematik, vol. 120, 3, pp. 465-487, (2012).

Ana ALONSO-RODRIGUEZ, Jessika CAMAÑO, Alberto VALLI: Inverse source problems for eddy current equations. Inverse Problems, vol. 28, 1, 015001 (24pp), (2012).

Gabriel N. GATICA, Antonio MARQUEZ, Manuel A. SANCHEZ: Pseudostress-based mixed finite element methods for the Stokes problem in $R^n$ with Dirichlet boundary conditions. I: A priori error analysis. Communications in Computational Physics, vol. 12, 1, pp. 109-134, (2012).

Tomás BARRIOS, Rommel BUSTINZA: An a posteriori error analysis of an augmented discontinuous Galerkin formulation for Darcy flow. Numerische Mathematik, vol. 120, 2, pp. 231-269, (2012).

Carlos D. ACOSTA, Raimund BÜRGER, Carlos E. MEJIA: Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations. Numerical Methods for Partial Differential Equations, vol. 28, 1, pp. 38-62, (2012).

Ricardo DURÁN, Rodolfo RODRÍGUEZ, Frank SANHUEZA: A finite element method for stiffened plates. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 46, 2, pp. 291-315 (2012).

Reda DIAB, Tai-wen HSU, Oscar LINK, Aron ROLAND, Ulrich ZANKE: Equilibrium scour depth around piles in noncohesive sediments under currents and waves. Coastal Engineering, vol. 58, pp. 986-991, (2011).

Chloé JIMÉNEZ, Rajesh MAHADEVAN: Asymptotic analysis of a class of optimal location problems. Journal de Mathématiques Pures et Appliquées, vol. 95, 4, pp. 382-419, (2011).

Tomás BARRIOS, Edwin BEHRENS, María GONZÁLEZ: A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions. Computer Methods in Applied Mechanics and Engineering, vol. 200, 1-4, pp. 101- 113, (2011).

Rajesh MAHADEVAN, Muthukumar THIRUMALAI: Homogenization of some low-cost control problems.. SIAM Journal on Mathematical Analysis, vol. 43, 5, pp. 2211-2229, (2011).

Fabián FLORES-BAZÁN, Elvira HERNÁNDEZ: A unified vector optimization problem: complete scalarizations and applications. Optimization, vol. 60, 12, pp. 1399-1419, (2011).

Edwin BEHRENS, Johnny GUZMAN: A new family of mixed methods for the Reissner-Mindlin plate model based on a system of first-order equations. Journal of Scientific Computing, vol. 49, 2, pp. 137-166, (2011).

Gabriel N. GATICA, Luis F. GATICA, Antonio MARQUEZ: Augmented mixed finite element methods for a vorticity-based velocity-pressure-stress formulation of the Stokes problem in 2D. International Journal for Numerical Methods in Fluids, vol. 67, 4, pp. 450-477, (2011).

Rodolfo ARAYA, Gabriel R. BARRENECHEA, Fabrice JAILLET, Rodolfo RODRÍGUEZ: Finite-element analysis of a static fluid-structure interaction problem. IMA Journal of Numerical Analysis, vol. 31, 3, pp. 886−913, (2011).

Gabriel N. GATICA, Ricardo OYARZÚA, Francisco J. SAYAS: Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem. Mathematics of Computation, vol. 80, 276, pp. 1911-1948, (2011).

Alfredo BERMÚDEZ, Rodolfo RODRÍGUEZ, María L. SEOANE: A fictitious domain method for the numerical simulation of flows past sails. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 45, 6, pp. 1033-1058, (2011).

Lourenco BEIRAO-DA-VEIGA, David MORA: A mimetic discretization of the Reissner–Mindlin plate bending problem. Numerische Mathematik, vol. 117, 3, pp. 425-462, (2011).

Margareth ALVES, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Stabilization of a system modeling temperature and porosity fields in a Kevin-Voigt-type mixture. Acta Mechanica, vol. 219, 1-2, pp. 145-167, (2011).

Edwin BEHRENS, Johnny GUZMAN: A mixed method for the biharmonic problem based on a system of first-order equations. SIAM Journal on Numerical Analysis, vol. 49, 2, pp. 789-817, (2011).

Margareth ALVES, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Transmission problem in thermoelasticity. Boundary Value Problems, vol. 2011, Article ID 190548, (2011).

Ricardo DURÁN, Rodolfo RODRÍGUEZ, Frank SANHUEZA: Numerical analysis of a finite element method to compute the vibration modes of a Reissner-Mindlin laminated plate. Mathematics of Computation, vol. 80, 275, pp. 1239-1264, (2011).

Gabriel N. GATICA, Ricardo OYARZÚA, Francisco J. SAYAS: Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem. Numerical Methods for Partial Differential Equations, vol. 27, 3, pp. 721-748, (2011).

Gabriel N. GATICA, Ricardo OYARZÚA, Francisco J. SAYAS: A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem. Computer Methods in Applied Mechanics and Engineering, vol. 200, 21-22, pp. 1877-1891, (2011).

Fernando BETANCOURT, Raimund BÜRGER, Kenneth H. KARLSEN: A strongly degenerate parabolic aggregation equation. Communications in Mathematical Sciences, vol. 9, 3, pp. 711-742, (2011).

Raimund BÜRGER, Stefan DIEHL, Ingmar NOPENS: A consistent modelling methodology for secondary settling tanks in wastewater treatment. Water Research, vol. 45, 6, pp. 2247-2260, (2011).

Julio ARACENA, Eric FANCHON, Marco MONTALVA, Mathilde NOUAL: Combinatorics on update digraphs in Boolean networks. Discrete Applied Mathematics, vol. 159, 6, pp. 401–409, (2011).

Gabriel N. GATICA, Antonio MARQUEZ, Manuel A. SANCHEZ: A priori and a posteriori error analyses of a velocity-pseudostress formulation for a class of quasi-Newtonian Stokes flows. Computer Methods in Applied Mechanics and Engineering, vol. 200, 17-20, pp. 1619-1636, (2011).

Fernando BETANCOURT, Raimund BÜRGER, Kenneth H. KARLSEN, Elmer M. TORY: On nonlocal conservation laws modelling sedimentation. Nonlinearity, vol. 24, 3, pp. 855-885, (2011).

Gabriel N. GATICA, Matthias MAISCHAK, Ernst P. STEPHAN: Numerical analysis of a transmission problem with Signorini contact using mixed-FEM and BEM. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 45, 4, pp. 779-802, (2011).

Carlo LOVADINA, David MORA, Rodolfo RODRÍGUEZ: A locking-free finite element method for the buckling problem of a non-homogeneous Timoshenko beam. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 45, 4, pp. 603-626, (2011).

Raimund BÜRGER, Rosa DONAT, Pep MULET, Carlos A. VEGA: On the implementation of WENO schemes for a class of polydisperse sedimentation models. Journal of Computational Physics, vol. 230, 6, pp. 2322-2344, (2011).

Margareth ALVES, Bianca M. R. CALSAVARA, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Analyticity and smoothing effect for the coupled system of equations of Korteweg-de Vries type with a single point singularity. Acta Applicandae Mathematicae, vol. 113, 1, pp. 75-100, (2011).

Fabián FLORES-BAZÁN, Cesar GUTIERREZ, Vicente NOVO: A Brezis-Browder principle on partially ordered spaces and related ordering theorems. Journal of Mathematical Analysis and Applications, vol. 375, 1, pp. 245-260, (2011).

Maria G. ARMENTANO, Claudio PADRA, Rodolfo RODRÍGUEZ, Mario SCHEBLE: An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations. Computer Methods in Applied Mechanics and Engineering, vol. 200, 1-4, pp. 178-188, (2011).

Mauricio AGUAYO, Hernán ALCAYAGA, Oscar LINK, Oscar PARRA, Francisco ROMERO, Alejandra STHER: Modelling the hydrologic response of a mesoscale andean watershed to changes in land use patterns for environmental planning. Hydrology and Earth System Sciences, vol. 14, 10, pp. 1963-1977, (2010)

José ARUMÍ, Oscar LINK, Roberto PIZARRO, Claudia SANGÜESA: Un simulador de lluvia para el estudio in situ de la escorrent'ia superficial y la erosi'on de suelos. Chilean Journal of Agricultural Research, vol. 70, 1, pp. 178-182, (2010)

Eric GOLES, Lilian SALINAS: Sequential operator for filtering cycles in Boolean networks. Advances in Applied Mathematics, vol. 45, 3, pp. 346-358, (2010)

Christian GOBERT, Oscar LINK, Michael MANHART: Coherent structures in the flow field around a circular cylinder with scour hole. Journal of Hydraulic Engineering, vol. 136, 1, pp. 82-84, (2010)

Reda DIAB, Oscar LINK, Ulrich ZANKE: Geometry of developing and equilibrium scour holes at bridge piers in gravel. Canadian Journal Of Civil Engineering, vol. 37, 4, pp. 544-552, (2010)

Veronica ANAYA, Mostafa BENDAHMANE, Mauricio SEPÚLVEDA: Mathematical and numerical analysis for predator-prey system in a polluted environment. Networks and Heterogeneous Media, vol. 5, 4, pp. 813-847, (2010)

Tomás BARRIOS, Rommel BUSTINZA: A priori and a posteriori error analyses of an augmented discontinuous Galerkin formulation. IMA Journal of Numerical Analysis, vol. 30, 4, pp. 987-1008, (2010)

Raimund BÜRGER, Kenneth H. KARLSEN, Hector TORRES, John D. TOWERS: Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Numerische Mathematik, vol. 116, 4, pp. 579-617, (2010)

Mostafa BENDAHMANE, Raimund BÜRGER, Ricardo RUIZ-BAIER: A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology. Numerical Methods for Partial Differential Equations, vol. 26, 6, pp. 1377-1404, (2010)

Gabriel N. GATICA, George C. HSIAO, Salim MEDDAHI: A coupled mixed finite element method for the interaction problem between an electromagnetic field and an elastic body. SIAM Journal on Numerical Analysis, vol. 48, 4, pp. 1338-1368, (2010)

Panayotis PANAYOTAROS, Mauricio SEPÚLVEDA, Octavio VERA: Solitary waves for a coupled nonlinear Schrodinger system with dispersion management. Electronic Journal of Differential Equations, vol. 2010, 107, pp. 1-26, (2010)

Alfredo BERMÚDEZ, Bibiana LÓPEZ-RODRÍGUEZ, Rodolfo RODRÍGUEZ, Pilar SALGADO: Equivalence between two finite element methods for the eddy current problem. Comptes Rendus de l'Académie des Sciences, vol. 348, pp. 769-774, (2010)

Ademir PAZOTO, Mauricio SEPÚLVEDA, Octavio VERA: Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping. Numerische Mathematik, vol. 116, 2, pp. 317-356, (2010)

Anahi GAJARDO, Pierre GUILLON: Zigzags in Turing machines. Lecture Notes in Computer Science, vol. 6072, pp. 109-119, (2010)

Alfredo BERMÚDEZ, Carlos REALES, Rodolfo RODRÍGUEZ, Pilar SALGADO: Numerical analysis of a finite element method for the axisymmetric eddy current model of an induction furnace. IMA Journal of Numerical Analysis, vol. 30, pp. 654-676, (2010)

Stefan BERRES, Raimund BÜRGER, Rodrigo GARCES: Centrifugal settling of flocculated suspensions: A sensitivity analysis of parametric model functions. Drying Technology, vol. 28, no. 7, pp. 858-870, (2010)

Raimund BÜRGER, Kenneth H. KARLSEN, John D. TOWERS: On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. Networks and Heterogeneous Media, vol. 5, no. 3, pp. 461-485, (2010)

Veronica ANAYA, Mostafa BENDAHMANE, Mauricio SEPÚLVEDA: A numerical analysis of a reaction-diffusion system modelling the dynamics of growth tumors. Mathematical Models and Methods in Applied Sciences, vol. 20, 5, pp. 731-756, (2010)

Emilio CARIAGA, Fernando CONCHA, Iuliu S. POP, Mauricio SEPÚLVEDA: Convergence analysis of a vertex-centered finite volume scheme for a copper heap leaching model. Mathematical Methods in the Applied Sciences, vol. 33, 9, pp. 1059-1077, (2010)

Carlo LOVADINA, David MORA, Rodolfo RODRÍGUEZ: Approximation of the buckling problem for Reissner-Mindlin plates. SIAM Journal on Numerical Analysis, vol. 48, 2, pp. 603-632, (2010)

Margareth ALVES, Jaime MUÑOZ-RIVERA, Carlos Alberto RAPOSO, Mauricio SEPÚLVEDA, Octavio VERA: Uniform stabilization for the transmission problem of the Timoshenko system with memory. Journal of Mathematical Analysis and Applications, vol. 369, 1, pp. 323-345, (2010)

Iuliu S. POP, Florin A. RADU, Mauricio SEPÚLVEDA, Octavio VERA: Error estimates for the finite volume discretization for the porous medium equation. Journal of Computational and Applied Mathematics, vol. 234, 7, pp. 2135-2142, (2010)

Mostafa BENDAHMANE, Raimund BÜRGER, Ricardo RUIZ-BAIER: A finite volume scheme for cardiac propagation in media with isotropic conductivities. Mathematics and Computers in Simulation, vol. 80, 9, pp. 1821-1840, (2010)

Ivo BABUSKA, Gabriel N. GATICA: A residual-based a posteriori error estimator for the Stokes-Darcy coupled problem. SIAM Journal on Numerical Analysis, vol. 48, 2, pp. 498-523, (2010)

Gabriel N. GATICA, Norbert HEUER, Francisco J. SAYAS: A direct coupling of local discontinuous Galerkin and boundary element methods. Mathematics of Computation, vol. 79, 271, pp. 1369-1394, (2010)

Raimund BÜRGER, Rosa DONAT, Pep MULET, Carlos A. VEGA: Hyperbolicity analysis of polydisperse sedimentation models via a secular equation for the flux Jacobian. SIAM Journal on Applied Mathematics, vol. 70, 7, pp. 2186-2213, (2010)

Raimund BÜRGER, Ricardo RUIZ-BAIER, Kai SCHNEIDER: Adaptive multiresolution methods for the simulation of waves in excitable media. Journal of Scientific Computing, vol. 43, 2, pp. 261-290, (2010)

Fabián FLORES-BAZÁN: Asymptotically bounded multifunctions and the MCP beyond copositivity. Journal of Convex Analysis, vol. 17, 1, pp. 253-276. (2010)

Alfredo BERMÚDEZ, Luis HERVELLA-NIETO, Andres PRIETO, Rodolfo RODRÍGUEZ: Perfectly matched layers for time-harmonic second order elliptic problems. Archives of Computational Methods in Engineering, vol. 17, 1, pp. 77-107, (2010)

Gabriel N. GATICA, Antonio MARQUEZ, Manuel A. SANCHEZ: Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations. Computer Methods in Applied Mechanics and Engineering, vol. 199, 17-20, pp. 1064-1079, (2010)

Raimund BÜRGER, Aníbal CORONEL, Mauricio SEPÚLVEDA: Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation. Proceedings of Symposia in Applied Mathematics, vol. 67, 2, 445-454, (2009)

Raimund BÜRGER, Kenneth H. KARLSEN, John D. TOWERS: A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions. Proceedings of Symposia in Applied Mathematics, vol. 67, 2, pp. 455-464, (2009)

Fabián FLORES-BAZÁN, Cristian VERA: Unifying efficiency and weak efficiency in generalized quasiconvex vector minimization on the real-line. International Journal of Optimization: Theory, Methods and Appl., vol 1, 3, pp. 247-265, (2009)

Gabriel N. GATICA, George C. HSIAO, Salim MEDDAHI: A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem. Numerische Mathematik, vol. 114, 1, pp. 63-106, (2009)

Margareth ALVES, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Analyticity of semigroups associated with thermoviscoelastic mixtures of solids. Journal of Thermal Stresses, vol. 32, 10, pp. 986-1004, (2009)

Margareth ALVES, Jaime MUÑOZ-RIVERA, Mauricio SEPÚLVEDA, Octavio VERA: Exponential stability in a thermoviscoelastic mixtures of solids. International Journal of Solids and Structures, vol. 46, 24, pp. 4151-4162, (2009)

Gabriel N. GATICA, Martin HEALEY, Norbert HEUER: The boundary element method with Lagrangian multipliers. Numerical Methods for Partial Differential Equations, vol. 25, 6, pp. 1303-1319, (2009)

Stefan BERRES, Raimund BÜRGER, Alice KOZAKEVICIUS: Numerical approximation of oscillatory solutions of hyperbolic-elliptic systems of conservation laws by multiresolution schemes. Advances in Applied Mathematics and Mechanics, vol. 1, 5, pp. 581-614, (2009)

Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: Analysis of the coupling of BEM, FEM and mixed-FEM for a two-dimensional fluid-solid interaction problem. Applied Numerical Mathematics, vol. 59, 11, pp. 2735-2750, (2009)

Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: An augmented mixed finite element method for 3D linear elasticity problems. Journal of Computational and Applied Mathematics, vol. 231, 2, pp. 526-540, (2009)

Raimund BÜRGER, Ricardo RUIZ-BAIER: Multiresolution simulation of reaction-diffusion systems with strong degeneracy. Boletin de la Sociedad Espagnola de Matematica Aplicada, vol. 47, pp. 73-80, (2009)

Veronica ANAYA, Mostafa BENDAHMANE, Mauricio SEPÚLVEDA: Mathematical and numerical analysis for reaction-diffusion systems modeling the spread of early tumors. Boletin de la Sociedad Espagnola de Matematica Aplicada, vol. 47, pp. 55-62. (2009)

Mostafa BENDAHMANE, Raimund BÜRGER, Ricardo RUIZ-BAIER, Jose M. URBANO: On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding. Mathematical Methods in the Applied Sciences, vol. 32, 13, pp. 1704-1737. (2009)

Ramiro ACEVEDO, Salim MEDDAHI, Rodolfo RODRÍGUEZ: An E-based mixed formulation for a time-dependent eddy current problem. Mathematics of Computation, vol. 78, 268, pp. 1929-1949, (2009)

David MORA, Rodolfo RODRÍGUEZ: A piecewise linear finite element method for the buckling and the vibration problems of thin plates . Mathematics of Computation, vol. 78, 268, pp. 1891-1917, (2009)

Julio ARACENA, Eric GOLES, Andres MOREIRA, Lilian SALINAS: On the robustness of update schedules in Boolean networks. Biosystems, vol. 97, 1, pp. 1-8, (2009)

Vanilde BISOGNIN, Mauricio SEPÚLVEDA, Octavio VERA: On the nonexistence of asymptotically free solutions for a coupled nonlinear Schrödinger system. Applied Numerical Mathematics, vol. 59, 9, pp. 2285-2302, (2009)

Rodolfo ARAYA, Gabriel R. BARRENECHEA, Leopoldo FRANCA, Frederic VALENTIN: Stabilization arising from PGEM: A review and further developments. Applied Numerical Mathematics, vol. 59, 9, pp. 2065-2081, (2009)

Margareth ALVES, Mauricio SEPÚLVEDA, Octavio VERA: Smoothing properties for the higher order nonlinear Schrodinger equation with constant coefficients. Non Linear Analysis: Theory, Methods and Applications, vol. 71, pp. 948-966, (2009)

Raimund BÜRGER, Kenneth H. KARLSEN, John D. TOWERS: An Engquist-Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections. SIAM Journal on Numerical Analysis, vol. 47, 3, pp. 1684-1712, (2009)

Mostafa BENDAHMANE, Raimund BÜRGER, Ricardo RUIZ-BAIER, Kai SCHNEIDER: Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems. Applied Numerical Mathematics, vol. 59, 7, pp. 1668-1692, (2009)

Mostafa BENDAHMANE, Mauricio SEPÚLVEDA: Convergence of a finite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic disease. Discrete and Continuous Dynamical Systems. Series B, vol. 11, 4, pp. 823-853, (2009)

Fabián FLORES-BAZÁN, Cristian VERA: Weak efficiency in multiobjective quasiconvex optimization on the real-line without derivatives. Optimization, vol. 58, 1, pp. 77-99, (2009)

Fabián FLORES-BAZÁN, Bienvenido JIMENEZ: Strict efficiency in set-valued optimization. SIAM Journal on Control and Optimization, vol. 48, 2, pp. 881-908, (2009)

Gabriel N. GATICA, Antonio MARQUEZ, Salim MEDDAHI: A new coupling of mixed finite element and boundary element methods for an exterior Helmholtz problem in the plane. Advances in Computational Mathematics, vol. 30, 3, pp. 281-301, (2009)

Erwin HERNÁNDEZ, Enrique OTÁROLA, Rodolfo RODRÍGUEZ, Frank SANHUEZA: Approximation of the vibration modes of a Timoshenko curved rod of arbitrary geometry. IMA Journal of Numerical Analysis, vol. 29, 1, pp. 180-207, (2009)

Gabriel N. GATICA, Salim MEDDAHI, Ricardo OYARZÚA: A conforming mixed finite-element method for the coupling of fluid flow with porous media flow. IMA Journal of Numerical Analysis, vol. 29, 1, pp. 86-108, (2009)

David K. BASSON, Stefan BERRES, Raimund BÜRGER: On models of polydisperse sedimentation with particle-size-specific hindered-settling factors. Applied Mathematical Modelling, vol. 33, pp. 1815-1835, (2009)