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New primal and dual-mixed finite element methods for stable image registration with singular regularization
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Stabilization and a posteriori error analysis of a mixed FEM for convection–diffusion problems with mixed boundary conditions
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
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
A mixed virtual element method for a pseudostress-based formulation of linear elasticity
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
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
A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier–Stokes–Brinkman problem
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
The stabilized mixed finite element scheme of elasticity problem
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
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
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
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 priorianda posteriorierror analysis of a pseudostress-based mixed formulation of the Stokes problem with varying density
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
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
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
ARTk−Pkapproximation for linear elasticity yielding a brokenH(div)convergent postprocessed stress
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
Approximation of generalized Stokes problems using dual‐mixed finite elements without enrichment
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
An augmented mixed finite element method for 3D linear elasticity problems
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
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
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
Approximating second‐order vector differential operators on distorted meshes in two space dimensions
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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