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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
An Lp spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations
A Discontinuous Galerkin Method for the Stationary Boussinesq System
Eligio Colmenares, Ricardo Oyarzúa and Francisco Piña Computational Methods in Applied Mathematics 22(4) 797 (2022) https://doi.org/10.1515/cmam-2022-0021
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
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
Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation
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 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 mixed virtual element method for the Navier–Stokes equations
Gabriel N. Gatica, Mauricio Munar and Filánder A. Sequeira Mathematical Models and Methods in Applied Sciences 28(14) 2719 (2018) https://doi.org/10.1142/S0218202518500598
Prestructuring sparse matrices with dense rows and columns via null space methods
Error analysis of an augmented mixed method for the Navier–Stokes problem with mixed boundary conditions
Jessika Camaño, Ricardo Oyarzúa, Ricardo Ruiz-Baier and Giordano Tierra IMA Journal of Numerical Analysis 38(3) 1452 (2018) https://doi.org/10.1093/imanum/drx039
An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity
Jessika Camaño, Gabriel N. Gatica, Ricardo Oyarzúa and Ricardo Ruiz-Baier Numerical Methods for Partial Differential Equations 33(5) 1692 (2017) https://doi.org/10.1002/num.22166
A fully-mixed finite element method for the Navier–Stokes/Darcy coupled problem with nonlinear viscosity
Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa and Ivana Šebestová Journal of Numerical Mathematics 25(2) (2017) https://doi.org/10.1515/jnma-2015-0121
Analysis of an SDG Method for the Incompressible Navier--Stokes Equations
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
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
Dual-mixed finite element methods for the stationary Boussinesq problem