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Least-squares versus partial least-squares finite element methods: Robust a priori and a posteriori error estimates of augmented mixed finite element methods
A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems
Gabriel N. Gatica, Bryan Gómez-Vargas and Ricardo Ruiz-Baier Journal of Computational and Applied Mathematics 409 114144 (2022) https://doi.org/10.1016/j.cam.2022.114144
Numerical analysis of a stabilized scheme applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions
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 priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow
A stabilized mixed method applied to Stokes system with nonhomogeneous source terms: The stationary case Dedicated to Prof. R. Rodríguez, on the occasion of his 65th birthday
Tomás P. Barrios, Edwin M. Behrens and Rommel Bustinza International Journal for Numerical Methods in Fluids 92(6) 509 (2020) https://doi.org/10.1002/fld.4793
A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd–Stokes problem
Sergio Caucao, Gabriel N. Gatica and Ricardo Oyarzúa Numerical Methods for Partial Differential Equations 35(1) 295 (2019) https://doi.org/10.1002/num.22301
New a posteriori error estimator for an stabilized mixed method applied to incompressible fluid flows
Robust a posteriori error estimators for mixed approximation of nearly incompressible elasticity
Arbaz Khan, Catherine E. Powell and David J. Silvester International Journal for Numerical Methods in Engineering 119(1) 18 (2019) https://doi.org/10.1002/nme.6040
A posteriori error analysis of a fully-mixed formulation for the Brinkman–Darcy problem
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 posteriori error analysis of a fully-mixed formulation for the Navier–Stokes/Darcy coupled problem with nonlinear viscosity
Augmented mixed finite element method for the Oseen problem: A priori and a posteriori error analyses
Tomás P. Barrios, J. Manuel Cascón and María González Computer Methods in Applied Mechanics and Engineering 313 216 (2017) https://doi.org/10.1016/j.cma.2016.09.012
A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions
New fully-mixed finite element methods for the Stokes–Darcy coupling
Jessika Camaño, Gabriel N. Gatica, Ricardo Oyarzúa, Ricardo Ruiz-Baier and Pablo Venegas Computer Methods in Applied Mechanics and Engineering 295 362 (2015) https://doi.org/10.1016/j.cma.2015.07.007
An augmented velocity-vorticity-pressure formulation for the Brinkman equations
Verónica Anaya, Gabriel N. Gatica, David Mora and Ricardo Ruiz-Baier International Journal for Numerical Methods in Fluids 79(3) 109 (2015) https://doi.org/10.1002/fld.4041
A Simple Introduction to the Mixed Finite Element Method
Augmented mixed finite element methods for a vorticity‐based velocity–pressure–stress formulation of the Stokes problem in 2D
Gabriel N. Gatica, Luis F. Gatica and Antonio Márquez International Journal for Numerical Methods in Fluids 67(4) 450 (2011) https://doi.org/10.1002/fld.2362
A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions
Tomás P. Barrios, Edwin M. Behrens and Marı´a González Computer Methods in Applied Mechanics and Engineering 200(1-4) 101 (2011) https://doi.org/10.1016/j.cma.2010.07.016
A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes–Darcy coupled problem
Gabriel N. Gatica, Ricardo Oyarzúa and Francisco-Javier Sayas Computer Methods in Applied Mechanics and Engineering 200(21-22) 1877 (2011) https://doi.org/10.1016/j.cma.2011.02.009
Analysis of a velocity–pressure–pseudostress formulation for the stationary Stokes equations
Gabriel N. Gatica, Antonio Márquez and Manuel A. Sánchez Computer Methods in Applied Mechanics and Engineering 199(17-20) 1064 (2010) https://doi.org/10.1016/j.cma.2009.11.024
A residual-based a posteriori error estimator for a two-dimensional fluid–solid interaction problem
A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows
Leonardo E. Figueroa, Gabriel N. Gatica and Norbert Heuer Computer Methods in Applied Mechanics and Engineering 198(2) 280 (2008) https://doi.org/10.1016/j.cma.2008.07.018