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A priori and a posteriori error analyses of a fully-mixed finite element method for the coupled Navier–Stokes/Darcy problem
Sergio Caucao, Ricardo Oyarzúa and Segundo Villa–Fuentes Computer Methods in Applied Mechanics and Engineering 450 118598 (2026) https://doi.org/10.1016/j.cma.2025.118598
Banach spaces-based mixed finite element methods for a steady sedimentation-consolidation system
New Banach spaces-based mixed finite element methods for the coupled poroelasticity and heat equations
Julio Careaga, Gabriel N Gatica, Cristian Inzunza and Ricardo Ruiz-Baier IMA Journal of Numerical Analysis 45(4) 1936 (2025) https://doi.org/10.1093/imanum/drae052
New Fully Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Nonlinear Transport Equations
New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces
Claudio I. Correa, Gabriel N. Gatica and Ricardo Ruiz-Baier ESAIM: Mathematical Modelling and Numerical Analysis 57(3) 1511 (2023) https://doi.org/10.1051/m2an/2023024
New Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Double-Diffusion Equations
A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem
Sergio Caucao, Eligio Colmenares, Gabriel N. Gatica and Cristian Inzunza Computers & Mathematics with Applications 145 65 (2023) https://doi.org/10.1016/j.camwa.2023.06.006
A decoupled and iterative finite element method for generalized Boussinesq equations
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 and Felipe Sandoval Journal of Numerical Mathematics 30(4) 325 (2022) https://doi.org/10.1515/jnma-2021-0101
A three-field Banach spaces-based mixed formulation for the unsteady Brinkman–Forchheimer equations
Sergio Caucao, Ricardo Oyarzúa, Segundo Villa-Fuentes and Ivan Yotov Computer Methods in Applied Mechanics and Engineering 394 114895 (2022) https://doi.org/10.1016/j.cma.2022.114895
An Lp spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations
Analysis of a momentum conservative mixed‐FEM for the stationary Navier–Stokes problem
Jessika Camaño, Carlos García and Ricardo Oyarzúa Numerical Methods for Partial Differential Equations 37(5) 2895 (2021) https://doi.org/10.1002/num.22789
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 and Yuri D. Sobral Computers & Mathematics with Applications 84 244 (2021) https://doi.org/10.1016/j.camwa.2021.01.001
A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations
Sergio Caucao, Gabriel N. Gatica and Juan P. Ortega ESAIM: Mathematical Modelling and Numerical Analysis 55(6) 2725 (2021) https://doi.org/10.1051/m2an/2021072
A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman–Forchheimer Equations
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
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 Divergence-Conforming DG-Mixed Finite Element Method for the Stationary Boussinesq Problem