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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 and Segundo Villa-Fuentes IMA Journal of Numerical Analysis (2025) https://doi.org/10.1093/imanum/draf101
New Fully Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Nonlinear Transport Equations
Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
Nitesh Verma, Bryan Gómez-Vargas, Luis Miguel De Oliveira Vilaca, Sarvesh Kumar and Ricardo Ruiz-Baier Applicable Analysis 101(14) 4914 (2022) https://doi.org/10.1080/00036811.2021.1877677
A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem
Analysis of an augmented fully-mixed finite element method for a bioconvective flows model
Eligio Colmenares, Gabriel N. Gatica and Willian Miranda Journal of Computational and Applied Mathematics 393 113504 (2021) https://doi.org/10.1016/j.cam.2021.113504
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations
A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
Eligio Colmenares, Gabriel N. Gatica and Sebastián Moraga ESAIM: Mathematical Modelling and Numerical Analysis 54(5) 1525 (2020) https://doi.org/10.1051/m2an/2020007
A Divergence-Conforming DG-Mixed Finite Element Method for the Stationary Boussinesq Problem
A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem
Gonzalo A. Benavides, Sergio Caucao, Gabriel N. Gatica and Alejandro A. Hopper Computer Methods in Applied Mechanics and Engineering 371 113285 (2020) https://doi.org/10.1016/j.cma.2020.113285
A Fully-Mixed Finite Element Method for the n-Dimensional Boussinesq Problem with Temperature-Dependent Parameters
A fully-mixed finite element method for the steady state Oberbeck–Boussinesq system
Eligio Colmenares, Gabriel N. Gatica, Sebastián Moraga and Ricardo Ruiz-Baier The SMAI Journal of computational mathematics 6 125 (2020) https://doi.org/10.5802/smai-jcm.64
Stability and finite element approximation of phase change models for natural convection in porous media
James Woodfield, Mario Alvarez, Bryan Gómez-Vargas and Ricardo Ruiz-Baier Journal of Computational and Applied Mathematics 360 117 (2019) https://doi.org/10.1016/j.cam.2019.04.003
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems
Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems
Gabriel N. Gatica, Bryan Gomez-Vargas and Ricardo Ruiz-Baier Computer Methods in Applied Mechanics and Engineering 337 411 (2018) https://doi.org/10.1016/j.cma.2018.03.043
A posteriori error estimation for an augmented mixed-primal method applied to sedimentation–consolidation systems
Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations
Sergio Caucao, Gabriel N. Gatica and Ricardo Oyarzúa ESAIM: Mathematical Modelling and Numerical Analysis 52(5) 1947 (2018) https://doi.org/10.1051/m2an/2018027
A conforming mixed finite element method for the Navier–Stokes/Darcy coupled problem
An Augmented Mixed Finite Element Method for the Navier--Stokes Equations with Variable Viscosity
Jessika Caman͂o, Gabriel N. Gatica, Ricardo Oyarzúa and Giordano Tierra SIAM Journal on Numerical Analysis 54(2) 1069 (2016) https://doi.org/10.1137/15M1013146
A mixed-primal finite element approximation of a sedimentation–consolidation system
Mario Alvarez, Gabriel N. Gatica and Ricardo Ruiz-Baier Mathematical Models and Methods in Applied Sciences 26(05) 867 (2016) https://doi.org/10.1142/S0218202516500202
Analysis of an augmented mixed‐primal formulation for the stationary Boussinesq problem
Eligio Colmenares, Gabriel N. Gatica and Ricardo Oyarzúa Numerical Methods for Partial Differential Equations 32(2) 445 (2016) https://doi.org/10.1002/num.22001
A posteriorierror analysis for a viscous flow-transport problem
Mario Alvarez, Gabriel N. Gatica and Ricardo Ruiz-Baier ESAIM: Mathematical Modelling and Numerical Analysis 50(6) 1789 (2016) https://doi.org/10.1051/m2an/2016007