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Convergence analysis and adaptive computation of a Banach-space mixed finite element method for generalized bioconvective flows
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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
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Mixed Virtual Element Approximation for the Five-Field Formulation of the Steady Boussinesq Problem with Temperature-Dependent Parameters
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New Fully Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Nonlinear Transport Equations
A conforming mixed finite element method for a coupled Navier–Stokes/transport system modeling reverse osmosis processes
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A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq 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 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 Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport
A three-field Banach spaces-based mixed formulation for the unsteady Brinkman–Forchheimer equations
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An Lp spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations
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
Analysis of a momentum conservative mixed‐FEM for the stationary Navier–Stokes problem
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A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations
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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 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 Divergence-Conforming DG-Mixed Finite Element Method for the Stationary Boussinesq Problem