Papers in Scientific Journals
The following is the list of publications in scientific journals of the Center for Research in Mathematical Engineering, ordered by year of occurrence, since 2009, date of creation of this center. When you click on the name of a certain author, all their publications available in this database are displayed together with a link to their list of publications in the AMS MathScinet database.
Publications of Gabriel N. GATICA |
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| Number | Authors, Title and Details |
|---|---|
| 2024-14 | 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). |
| 2024-09 | 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). |
| 2023-41 | 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). |
| 2023-40 | 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). |
| 2023-39 | 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). |
| 2023-32 | 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). |
| 2023-30 | 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). |
| 2023-25 | 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). |
| 2023-23 | 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). |
| 2023-21 | 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). |
| 2023-20 | 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). |
| 2022-40 | 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). |
| 2022-39 | 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). |
| 2022-38 | 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). |
| 2022-34 | 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). |
| 2022-31 | 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). |
| 2022-24 | 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). |
| 2022-16 | 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). |
| 2022-06 | 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). |
| 2022-03 | 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). |
| 2021-43 | 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). |
| 2021-40 | 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). |
| 2021-36 | 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). |
| 2021-32 | 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). |
| 2021-25 | 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). |
| 2021-20 | 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). |
| 2021-19 | 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). |
| 2021-17 | 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). |
| 2021-16 | 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). |
| 2021-14 | 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). |
| 2021-12 | 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). |
| 2021-08 | 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). |
| 2021-06 | 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). |
| 2020-56 | 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). |
| 2020-54 | 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). |
| 2020-47 | 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). |
| 2020-43 | 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). |
| 2020-42 | 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). |
| 2020-40 | 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). |
| 2020-31 | 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). |
| 2020-29 | 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). |
| 2020-25 | Gabriel N. GATICA: A note on stable Helmholtz decompositions in 3D. Applicable Analysis, vol. 99, 7, pp. 1110-1121, (2020). |
| 2020-23 | 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). |
| 2020-17 | 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). |
| 2020-07 | 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). |
| 2020-01 | 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). |
| 2019-46 | 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). |
| 2019-26 | 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). |
| 2019-23 | 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). |
| 2019-15 | 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). |
| 2019-14 | 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). |
| 2019-12 | 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). |
| 2019-09 | 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). |
| 2019-04 | 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). |
| 2018-36 | 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). |
| 2018-35 | 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). |
| 2018-32 | 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). |
| 2018-26 | 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) |
| 2018-20 | 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). |
| 2018-18 | 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). |
| 2018-17 | 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). |
| 2018-05 | 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). |
| 2017-41 | 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). |
| 2017-40 | 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). |
| 2017-37 | 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). |
| 2017-30 | 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). |
| 2017-28 | 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). |
| 2017-25 | 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). |
| 2017-23 | 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). |
| 2017-14 | 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). |
| 2017-13 | 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). |
| 2017-09 | 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). |
| 2017-07 | 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). |
| 2017-05 | 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). |
| 2016-42 | 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). |
| 2016-41 | 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). |
| 2016-40 | 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). |
| 2016-29 | 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). |
| 2016-28 | 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). |
| 2016-24 | 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). |
| 2016-23 | 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). |
| 2016-21 | 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). |
| 2016-14 | 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). |
| 2016-11 | 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). |
| 2016-08 | 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). |
| 2016-07 | 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). |
| 2016-03 | 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). |
| 2016-01 | 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). |
| 2015-32 | 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). |
| 2015-31 | 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). |
| 2015-22 | 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). |
| 2015-20 | 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). |
| 2015-19 | 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). |
| 2015-16 | 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). |
| 2015-04 | 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). |
| 2014-11 | 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). |
| 2014-10 | 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). |
| 2014-07 | 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). |
| 2014-04 | 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). |
| 2014-02 | 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). |
| 2013-16 | 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). |
| 2013-15 | 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). |
| 2013-04 | 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). |
| 2012-24 | 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). |
| 2012-22 | 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). |
| 2012-14 | 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). |
| 2012-06 | 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). |
| 2012-04 | 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). |
| 2011-22 | 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). |
| 2011-20 | 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). |
| 2011-13 | 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). |
| 2011-12 | 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). |
| 2011-08 | 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). |
| 2011-06 | 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). |
| 2010-21 | 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) |
| 2010-07 | 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) |
| 2010-06 | 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) |
| 2010-01 | 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) |
| 2009-25 | 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) |
| 2009-22 | 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) |
| 2009-20 | 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) |
| 2009-19 | 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) |
| 2009-04 | 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) |
| 2009-02 | 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) |