Publications of Ricardo RUIZ-BAIER

Gabriel N. GATICA, Cristian INZUNZA, Ricardo RUIZ-BAIER: Primal-mixed finite element methods for the coupled Biot and Poisson-Nernst-Planck equations. Computers & Mathematics with Applications, vol. 186, pp. 53-83, (2025).

Raimund BÜRGER, Arbaz KHAN, Paul E. MÉNDEZ, Ricardo RUIZ-BAIER: Divergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysis. IMA Journal of Numerical Analysis, vol. 44, 6, pp. 3520-3572, (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).

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).

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).

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).

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).

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).

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).

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).

Veronica ANAYA, Arbaz KHAN, 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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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, 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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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)

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)

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)

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)

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)

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)