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An a posteriori error estimator for an augmented variational formulation of the Brinkman problem with mixed boundary conditions and non-null source terms
A conforming mixed finite element method for a coupled Navier–Stokes/transport system modeling reverse osmosis processes
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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
New primal and dual-mixed finite element methods for stable image registration with singular regularization
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Analysis of a Galerkin scheme to avoid the locking phenomenon: solid-fluid interaction problem
A Vásquez-Coronel, E Salazar-Jurado, L Cuesta-Herrera and A Altamirano-Fernández Journal of Physics: Conference Series 1671(1) 012001 (2020) https://doi.org/10.1088/1742-6596/1671/1/012001
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
Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics
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
Mixed displacement–rotation–pressure formulations for linear elasticity
Verónica Anaya, Zoa de Wijn, David Mora and Ricardo Ruiz-Baier Computer Methods in Applied Mechanics and Engineering 344 71 (2019) https://doi.org/10.1016/j.cma.2018.09.029
New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media
Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems
Gabriel N. Gatica, Bryan Gomez-Vargas and Ricardo Ruiz-Baier Computer Methods in Applied Mechanics and Engineering 337 411 (2018) https://doi.org/10.1016/j.cma.2018.03.043
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
A New Mixed Finite Element Method for Elastodynamics with Weak Symmetry
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 priorianda posteriorierror analysis of a pseudostress-based mixed formulation of the Stokes problem with varying density
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
A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity
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
A mixed-primal finite element approximation of a sedimentation–consolidation system
Mario Alvarez, Gabriel N. Gatica and Ricardo Ruiz-Baier Mathematical Models and Methods in Applied Sciences 26(05) 867 (2016) https://doi.org/10.1142/S0218202516500202
A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions
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
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
Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow
Gabriel N. Gatica, Luis F. Gatica and Filánder A. Sequeira Computer Methods in Applied Mechanics and Engineering 289 104 (2015) https://doi.org/10.1016/j.cma.2015.01.019
Primal-mixed formulations for reaction–diffusion systems on deforming domains
An augmented mixed-primal finite element method for a coupled flow-transport problem
Mario Alvarez, Gabriel N. Gatica and Ricardo Ruiz–Baier ESAIM: Mathematical Modelling and Numerical Analysis 49(5) 1399 (2015) https://doi.org/10.1051/m2an/2015015
A Simple Introduction to the Mixed Finite Element Method
On stabilized mixed methods for generalized Stokes problem based on the velocity–pseudostress formulation: A priori error estimates
Tomás P. Barrios, Rommel Bustinza, Galina C. García and Erwin Hernández Computer Methods in Applied Mechanics and Engineering 237-240 78 (2012) https://doi.org/10.1016/j.cma.2012.05.006
Analysis of the Coupling of Lagrange and Arnold--Falk--Winther Finite Elements for a Fluid-Solid Interaction Problem in Three Dimensions
Gabriel N. Gatica, Antonio Márquez and Salim Meddahi SIAM Journal on Numerical Analysis 50(3) 1648 (2012) https://doi.org/10.1137/110836705
Pseudostress-Based Mixed Finite Element Methods for the Stokes Problem in ℝnwith Dirichlet Boundary Conditions. I: A Priori Error Analysis
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 priori and a posteriori error analyses of a velocity-pseudostress formulation for a class of quasi-Newtonian Stokes flows
Gabriel N. Gatica, Antonio Márquez and Manuel A. Sánchez Computer Methods in Applied Mechanics and Engineering 200(17-20) 1619 (2011) https://doi.org/10.1016/j.cma.2011.01.010
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
Symmetric Matrix Fields in the Finite Element Method
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
Augmented Mixed Finite Element Methods for the Stationary Stokes Equations
Leonardo E. Figueroa, Gabriel N. Gatica and Antonio Márquez SIAM Journal on Scientific Computing 31(2) 1082 (2009) https://doi.org/10.1137/080713069
Finite Element Approximation of the Three-Field Formulation of the Stokes Problem Using Arbitrary Interpolations
A new dual-mixed finite element method for the plane linear elasticity problem with pure traction boundary conditions
Gabriel N. Gatica, Antonio Márquez and Salim Meddahi Computer Methods in Applied Mechanics and Engineering 197(9-12) 1115 (2008) https://doi.org/10.1016/j.cma.2007.10.003
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
An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses
Analysis of the Coupling of Primal and Dual-Mixed Finite Element Methods for a Two-Dimensional Fluid-Solid Interaction Problem
Gabriel N. Gatica, Antonio Márquez and Salim Meddahi SIAM Journal on Numerical Analysis 45(5) 2072 (2007) https://doi.org/10.1137/060660370
A residual basedA POSTERIORIerror estimator for an augmented mixed finite element method in linear elasticity
Tomás P. Barrios, Gabriel N. Gatica, María González and Norbert Heuer ESAIM: Mathematical Modelling and Numerical Analysis 40(5) 843 (2006) https://doi.org/10.1051/m2an:2006036
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