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A conforming mixed finite element method for a coupled Navier–Stokes/transport system modeling reverse osmosis processes
Isaac Bermúdez, Jessika Camaño, Ricardo Oyarzúa and Manuel Solano Computer Methods in Applied Mechanics and Engineering 433 117527 (2025) https://doi.org/10.1016/j.cma.2024.117527
Mixed Virtual Element Approximation for the Five-Field Formulation of the Steady Boussinesq Problem with Temperature-Dependent Parameters
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 (2024) https://doi.org/10.1093/imanum/drae052
A Banach spaces-based mixed finite element method for the stationary convective Brinkman–Forchheimer problem
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 Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems
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 fractional-step DG-FE method for the time-dependent 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 new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem
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 mixed virtual element method for the two-dimensional Navier–Stokes 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
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
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 Divergence-Conforming DG-Mixed Finite Element Method for the Stationary Boussinesq Problem
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 Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman–Forchheimer Equations