Métodos de Multiresolución y su Aplicación a un Modelo de Ingeniería. (Multiresolution methods and its application to an engineering model). - Ricardo Ruiz-Baier (2005)

Numerical Methods and Analysis for Degenerate Parabolic Equations and Reaction-Diffusion Systems. - Ricardo Ruiz-Baier (2008)

Adaptive Multiresolution Methods for the Simulation of Waves in Excitable Media. - Raimund Bürger; Ricardo Ruiz-Baier; Kai Schneider (J. Sci. Comput., 2010)

A finite volume scheme for cardiac propagation in media with isotropic conductivities. - Mostafa Bendahmane; Raimund Bürger; Ricardo Ruiz-Baier (Math. Comput. Simul., 2010)

An adaptive finite-volume method for a model of two-phase pedestrian flow. - Stefan Berres; Ricardo Ruiz-Baier; Hartmut Schwandt; Elmer M. Tory (Networks Heterog. Media, 2011)

Analysis of a finite volume element method for the Stokes problem. - Alfio Quarteroni; Ricardo Ruiz-Baier (Numerische Mathematik, 2011)

A Stabilized Finite Volume Element Formulation for Sedimentation-Consolidation Processes. - Raimund Bürger; Ricardo Ruiz-Baier; Héctor Torres (SIAM J. Sci. Comput., 2012)

Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity. - Davide Baroli; Alfio Quarteroni; Ricardo Ruiz-Baier (Adv. Comput. Math., 2013)

Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion. - Zhigui Lin; Ricardo Ruiz-Baier; Canrong Tian (J. Comput. Phys., 2014)

Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation. - Raimund Bürger; Sarvesh Kumar; Ricardo Ruiz-Baier (J. Comput. Phys., 2015)

Primal-mixed formulations for reaction-diffusion systems on deforming domains. - Ricardo Ruiz-Baier (J. Comput. Phys., 2015)

Equal Order Discontinuous Finite Volume Element Methods for the Stokes Problem. - Sarvesh Kumar; Ricardo Ruiz-Baier (J. Sci. Comput., 2015)

A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity. - Gabriel N. Gatica; Ricardo Ruiz-Baier; Giordano Tierra (Comput. Math. Appl., 2016)

Discontinuous approximation of viscous two-phase flow in heterogeneous porous media. - Raimund Bürger; Sarvesh Kumar; Kenettinkara Sudarshan Kumar; Ricardo Ruiz-Baier (J. Comput. Phys., 2016)

Mixed finite element - discontinuous finite volume element discretization of a general class of multicontinuum models. - Ricardo Ruiz-Baier; Ivan Lunati (J. Comput. Phys., 2016)

A mixed finite element method for Darcy's equations with pressure dependent porosity. - Gabriel N. Gatica; Ricardo Ruiz-Baier; Giordano Tierra (Math. Comput., 2016)

A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem. - Verónica Anaya; David Mora; Ricardo Oyarzúa; Ricardo Ruiz-Baier (Numerische Mathematik, 2016)

Locking-Free Finite Element Methods for Poroelasticity. - Ricardo Oyarzúa; Ricardo Ruiz-Baier (SIAM J. Numer. Anal., 2016)

Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows. - Pietro Lenarda; Marco Paggi; Ricardo Ruiz-Baier (J. Comput. Phys., 2017)

Mixed Methods for a Stream-Function - Vorticity Formulation of the Axisymmetric Brinkman Equations. - Verónica Anaya; David Mora; Carlos Reales; Ricardo Ruiz-Baier (J. Sci. Comput., 2017)

Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model. - Raimund Bürger; Ricardo Ruiz-Baier; Canrong Tian (Math. Comput. Simul., 2017)

Mixed and discontinuous finite volume element schemes for the optimal control of immiscible flow in porous media. - Sarvesh Kumar; Ricardo Ruiz-Baier; Ruchi Sandilya (Comput. Math. Appl., 2018)

A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems. - Mario Álvarez; Gabriel N. Gatica; Ricardo Ruiz-Baier (J. Comput. Phys., 2018)

On a vorticity-based formulation for reaction-diffusion-Brinkman systems. - Verónica Anaya; Mostafa Bendahmane; David Mora; Ricardo Ruiz-Baier (Networks Heterog. Media, 2018)

Coupling of Discontinuous Galerkin Schemes for Viscous Flow in Porous Media with Adsorption. - Raimund Bürger; Kenettinkara Sudarshan Kumar; Ricardo Ruiz-Baier; Héctor Torres (SIAM J. Sci. Comput., 2018)

Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems. - Gabriel N. Gatica; Bryan Gomez-Vargas; Ricardo Ruiz-Baier (Comput. Math. Appl., 2019)

Advection-diffusion-reaction in poroelastic media. Part I: Well-posedness and discrete analysis. - Nitesh Verma; Bryan Gomez-Vargas; Luis Miguel De Oliveira Vilaca; Sarvesh Kumar; Ricardo Ruiz-Baier (CoRR, 2019)

Stability and finite element approximation of phase change models for natural convection in porous media. - James Woodfield; Mario Álvarez; Bryan Gomez-Vargas; Ricardo Ruiz-Baier (J. Comput. Appl. Math., 2019)

Numerical approximation of a 3D mechanochemical interface model for skin patterning. - Luis Miguel De Oliveira Vilaca; Michel C. Milinkovitch; Ricardo Ruiz-Baier (J. Comput. Phys., 2019)

New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media. - Mario Álvarez; Gabriel N. Gatica; Bryan Gomez-Vargas; Ricardo Ruiz-Baier (J. Sci. Comput., 2019)

Analysis and Approximation of a Vorticity-Velocity-Pressure Formulation for the Oseen Equations. - Verónica Anaya; Afaf Bouharguane; David Mora; Carlos Reales; Ricardo Ruiz-Baier; Nour Seloula; Héctor Torres (J. Sci. Comput., 2019)

Error Bounds for Discontinuous Finite Volume Discretisations of Brinkman Optimal Control Problems. - Sarvesh Kumar; Ricardo Ruiz-Baier; Ruchi Sandilya (J. Sci. Comput., 2019)

On H(div)-conforming Methods for Double-diffusion Equations in Porous Media. - Raimund Bürger; Paul E. Méndez 001; Ricardo Ruiz-Baier (SIAM J. Numer. Anal., 2019)

On the modelling, linear stability, and numerical simulation for advection-diffusion-reaction in poroelastic media. - Nitesh Verma; Bryan Gomez-Vargas; Luis Miguel De Oliveira Vilaca; Sarvesh Kumar; Ricardo Ruiz-Baier (CoRR, 2020)

A new mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent viscosity. - Javier A. Almonacid; Gabriel N. Gatica; Ricardo Oyarzúa; Ricardo Ruiz-Baier (Networks Heterog. Media, 2020)

Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem. - Verónica Anaya; Zoa de Wijn; Bryan Gomez-Vargas; David Mora; Ricardo Ruiz-Baier (SIAM J. Sci. Comput., 2020)

Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. - Raimund Bürger; Sarvesh Kumar; David Mora; Ricardo Ruiz-Baier; Nitesh Verma (Adv. Comput. Math., 2021)

Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds. - Gabriel N. Gatica; Ricardo Oyarzúa; Ricardo Ruiz-Baier; Yuri D. Sobral (Comput. Math. Appl., 2021)

Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity. - Verónica Anaya; Ruben Caraballo; Bryan Gomez-Vargas; David Mora; Ricardo Ruiz-Baier (CoRR, 2021)

Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure. - Verónica Anaya; David Mora; Amiya Kumar Pani; Ricardo Ruiz-Baier (CoRR, 2021)

Divergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysis. - Raimund Bürger; Arbaz Khan; Paul E. Méndez 001; Ricardo Ruiz-Baier (CoRR, 2021)

Coupling Stokes flow with inhomogeneous poroelasticity. - Matteo Taffetani; Ricardo Ruiz-Baier; Sarah L. Waters (CoRR, 2021)

The Biot-Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eye. - Ricardo Ruiz-Baier; Matteo Taffetani; Hans D. Westermeyer; Ivan Yotov (CoRR, 2021)

Mechanochemical models for calcium waves in embryonic epithelia. - Katerina Kaouri; Paul E. Méndez 001; Ricardo Ruiz-Baier (CoRR, 2021)

Mixed methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedema. - Nicolás A. Barnafi; Bryan Gomez-Vargas; Wesley de Jesus Lourenço; Ruy Freitas Reis; Bernardo Martins Rocha; Marcelo Lobosco; Ricardo Ruiz-Baier; Rodrigo Weber dos Santos (CoRR, 2021)

Augmented finite element formulation for the Navier-Stokes equations with vorticity and variable viscosity. - Verónica Anaya; Ruben Caraballo; Ricardo Ruiz-Baier; Héctor Torres (CoRR, 2021)

Conforming, Nonconforming and DG Methods for the Stationary Generalized Burgers-Huxley Equation. - Arbaz Khan; Manil T. Mohan; Ricardo Ruiz-Baier (J. Sci. Comput., 2021)

Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters. - Graham Baird; Raimund Bürger; Paul E. Méndez 001; Ricardo Ruiz-Baier (Numerische Mathematik, 2021)

Adaptive Mesh Refinement in Deformable Image Registration: A Posteriori Error Estimates for Primal and Mixed Formulations. - Nicolás A. Barnafi; Gabriel N. Gatica; Daniel E. Hurtado; Willian Miranda; Ricardo Ruiz-Baier (SIAM J. Imaging Sci., 2021)

Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure. - Wietse M. Boon; Miroslav Kuchta; Kent-André Mardal; Ricardo Ruiz-Baier (SIAM J. Sci. Comput., 2021)

Symmetric mixed discontinuous Galerkin methods for linear viscoelasticity. - Salim Meddahi; Ricardo Ruiz-Baier (CoRR, 2022)

A new DG method for a pure-stress formulation of the Brinkman problem with strong symmetry. - Salim Meddahi; Ricardo Ruiz-Baier (CoRR, 2022)

Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations. - Mehdi Dehghan 002; Zeinab Gharibi; Ricardo Ruiz-Baier (CoRR, 2022)

Coupling chemotaxis and growth poromechanics for the modelling of feather primordia patterning. - Nicolás A. Barnafi; Luis Miguel De Oliveira Vilaca; Michel C. Milinkovitch; Ricardo Ruiz-Baier (CoRR, 2022)

A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems. - Gabriel N. Gatica; Bryan Gomez-Vargas; Ricardo Ruiz-Baier (J. Comput. Appl. Math., 2022)

Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers. - Wietse M. Boon; Martin Hornkjøl; Miroslav Kuchta; Kent-André Mardal; Ricardo Ruiz-Baier (J. Comput. Phys., 2022)

Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations. - Verónica Anaya; David Mora; Amiya Kumar Pani; Ricardo Ruiz-Baier (J. Num. Math., 2022)

A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models. - Gabriel N. Gatica; Cristian Inzunza; Ricardo Ruiz-Baier; Felipe Sandoval (J. Num. Math., 2022)

Finite Element Methods for Large-Strain Poroelasticity/Chemotaxis Models Simulating the Formation of Myocardial Oedema. - Nicolás A. Barnafi; Bryan Gomez-Vargas; Wesley de Jesus Lourenço; Ruy Freitas Reis; Bernardo M. Rocha; Marcelo Lobosco; Ricardo Ruiz-Baier; Rodrigo Weber dos Santos (J. Sci. Comput., 2022)

Robust A Posteriori Error Analysis for Rotation-Based Formulations of the Elasticity/Poroelasticity Coupling. - Verónica Anaya; Arbaz Khan; David Mora; Ricardo Ruiz-Baier (SIAM J. Sci. Comput., 2022)

On augmented finite element formulations for the Navier-Stokes equations with vorticity and variable viscosity. - Verónica Anaya; Ruben Caraballo; Ricardo Ruiz-Baier; Héctor Torres (Comput. Math. Appl., 2023)

Virtual element methods for Biot-Kirchhoff poroelasticity. - Rekha Khot; David Mora; Ricardo Ruiz-Baier (CoRR, 2023)

New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability. - Bishnu P. Lamichhane; Ricardo Ruiz-Baier; Segundo Villa-Fuentes (CoRR, 2023)

Robust finite element methods and solvers for the Biot-Brinkman equations in vorticity form. - Ruben Caraballo; Chansophea Wathanak In; Alberto F. Martín; Ricardo Ruiz-Baier (CoRR, 2023)

Optimal Error Estimates of Coupled and Divergence-Free Virtual Element Methods for the Poisson-Nernst-Planck/Navier-Stokes Equations and Applications in Electrochemical Systems. - Mehdi Dehghan 002; Zeinab Gharibi; Ricardo Ruiz-Baier (J. Sci. Comput., 2023)

A Mixed Discontinuous Galerkin Method for a Linear Viscoelasticity Problem With Strongly Imposed Symmetry. - Salim Meddahi; Ricardo Ruiz-Baier (SIAM J. Sci. Comput., 2023)

Mixed-Primal Methods for Natural Convection Driven Phase Change with Navier-Stokes-Brinkman Equations. - Gabriel N. Gatica; Nicolás Núñez; Ricardo Ruiz-Baier (J. Sci. Comput., 2023)

Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion. - Bryan Gomez-Vargas; Kent-André Mardal; Ricardo Ruiz-Baier; Vegard Vinje (SIAM J. Numer. Anal., 2023)

New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces. - Gabriel N. Gatica; Nicolás Núñez; Ricardo Ruiz-Baier (J. Num. Math., 2023)

Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem. - Santiago Badia; Martin Hornkjøl; Arbaz Khan; Kent-André Mardal; Alberto F. Martín; Ricardo Ruiz-Baier (Comput. Math. Appl., 2024)

Robust virtual element methods for coupled stress-assisted diffusion problems. - Rekha Khot; Andres E. Rubiano; Ricardo Ruiz-Baier (CoRR, 2024)

Divergence conforming finite element methods for flow-transport coupling with osmotic effects. - Arbaz Khan; David Mora; Ricardo Ruiz-Baier; Jesus Vellojin (CoRR, 2024)

Numerical analysis of a porous natural convection system with vorticity and viscous dissipation. - Russel Demos; Rashmi Dubey; Ricardo Ruiz-Baier; Segundo Villa-Fuentes (CoRR, 2024)

Semi and fully-discrete analysis of lowest-order nonstandard finite element methods for the biharmonic wave problem. - Neela Nataraj; Ricardo Ruiz-Baier; Aamir Yousuf (CoRR, 2024)

A Lagrange Multiplier-based method for Stokes-linearized poro-hyperelastic interface problems. - Aparna Bansal; Nicolás A. Barnafi; Dwijendra Narain Pandey; Ricardo Ruiz-Baier (CoRR, 2024)

A priori and a posteriori error bounds for the fully mixed FEM formulation of poroelasticity with stress-dependent permeability. - Arbaz Khan; Bishnu P. Lamichhane; Ricardo Ruiz-Baier; Segundo Villa-Fuentes (CoRR, 2024)

Numerical Solution of the Biot/Elasticity Interface Problem Using Virtual Element Methods. - Sarvesh Kumar; David Mora; Ricardo Ruiz-Baier; Nitesh Verma (J. Sci. Comput., 2024)

Primal-mixed finite element methods for the coupled Biot and Poisson-Nernst-Planck equations. - Gabriel N. Gatica; Cristian Inzunza; Ricardo Ruiz-Baier (Comput. Math. Appl., 2025)

Analysis of a finite element method for the Stokes-Poisson-Boltzmann equations. - Abeer F. AlSohaim; Ricardo Ruiz-Baier; Segundo Villa-Fuentes (CoRR, 2025)

A posteriori error analysis of a robust virtual element method for stress-assisted diffusion problems. - Franco Dassi; Rekha Khot; Andres E. Rubiano; Ricardo Ruiz-Baier (CoRR, 2025)

Accurate stochastic simulation of nonlinear reactions between closest particles. - Taylor Kearney; Ricardo Ruiz-Baier; Mark B. Flegg (CoRR, 2025)

Non-augmented velocity-vorticity-pressure formulation for the Navier-Stokes-Brinkman-Forchheimer problem. - Santiago Badia; Carsten Carstensen; Alberto F. Martín; Ricardo Ruiz-Baier; Segundo Villa-Fuentes (CoRR, 2025)

Unified numerical analysis for thermoelastic diffusion and thermo-poroelasticity of thin plates. - Neela Nataraj; Ricardo Ruiz-Baier; Aamir Yousuf (CoRR, 2025)

Tree-based adaptive finite element methods for deformable image registration. - Nicolás A. Barnafi; Alberto F. Martín; Ricardo Ruiz-Baier (CoRR, 2025)

Mixed virtual element methods for a stress-velocity-rotation formulation in viscoelasticity. - Sarvesh Kumar; Utkarsh Rajput; Ricardo Ruiz-Baier (CoRR, 2025)

Analysis and virtual element discretisation of a Stokes/Biot-Kirchhoff bulk-surface model. - Franco Dassi; Rekha Khot; Andres E. Rubiano; Ricardo Ruiz-Baier (CoRR, 2025)

A Nitsche method for Navier-Stokes/generalized poroelasticity interface problems. - Aparna Bansal; Nicolás A. Barnafi; Dwijendra Narain Pandey; Ricardo Ruiz-Baier (CoRR, 2025)