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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
Mixed-Primal Methods for Natural Convection Driven Phase Change with Navier–Stokes–Brinkman 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
A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport
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
An Lp spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations
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
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
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 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 new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy
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