Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

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)
DOI: 10.1002/num.22166
See this article

A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity

Gabriel N. Gatica, Luis F. Gatica and Filánder A. Sequeira
Computers & Mathematics with Applications 71 (2) 585 (2016)
DOI: 10.1016/j.camwa.2015.12.009
See this article

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)
DOI: 10.1002/num.22301
See this article

A Simple Introduction to the Mixed Finite Element Method

Gabriel N. Gatica
SpringerBriefs in Mathematics, A Simple Introduction to the Mixed Finite Element Method 27 (2014)
DOI: 10.1007/978-3-319-03695-3_2
See this article

A Simple Introduction to the Mixed Finite Element Method

Gabriel N. Gatica
SpringerBriefs in Mathematics, A Simple Introduction to the Mixed Finite Element Method 1 (2014)
DOI: 10.1007/978-3-319-03695-3_1
See this article

A Simple Introduction to the Mixed Finite Element Method

Gabriel N. Gatica
SpringerBriefs in Mathematics, A Simple Introduction to the Mixed Finite Element Method 93 (2014)
DOI: 10.1007/978-3-319-03695-3_4
See this article

A Simple Introduction to the Mixed Finite Element Method

Gabriel N. Gatica
SpringerBriefs in Mathematics, A Simple Introduction to the Mixed Finite Element Method 61 (2014)
DOI: 10.1007/978-3-319-03695-3_3
See this article

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)
DOI: 10.1002/nme.6040
See this article

A priori and a posteriori error analyses of augmented twofold saddle point formulations for nonlinear elasticity problems

Gabriel N. Gatica, Antonio Márquez and Walter Rudolph
Computer Methods in Applied Mechanics and Engineering 264 23 (2013)
DOI: 10.1016/j.cma.2013.05.010
See this article

A residual-based a posteriori error estimator for a two-dimensional fluid–solid interaction problem

Gabriel N. Gatica, George C. Hsiao and Salim Meddahi
Numerische Mathematik 114 (1) 63 (2009)
DOI: 10.1007/s00211-009-0250-6
See this article

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)
DOI: 10.1016/j.cma.2009.11.024
See this article

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)
DOI: 10.1002/fld.4041
See this article

An augmented mixed finite element method for 3D linear elasticity problems

Gabriel N. Gatica, Antonio Márquez and Salim Meddahi
Journal of Computational and Applied Mathematics 231 (2) 526 (2009)
DOI: 10.1016/j.cam.2009.03.018
See this article

A posteriori error analysis of a fully-mixed formulation for the Brinkman–Darcy problem

M. Álvarez, G. N. Gatica and R. Ruiz-Baier
Calcolo 54 (4) 1491 (2017)
DOI: 10.1007/s10092-017-0238-z
See this article

Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow

Gabriel N. Gatica, Luis F. Gatica and Antonio Márquez
Numerische Mathematik 126 (4) 635 (2014)
DOI: 10.1007/s00211-013-0577-x
See this article

Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity

Tomás P. Barrios, Edwin M. Behrens and María González
Applied Numerical Mathematics 84 46 (2014)
DOI: 10.1016/j.apnum.2014.05.008
See this article

A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions

Carolina Domínguez, Gabriel N. Gatica and Antonio Márquez
Journal of Computational and Applied Mathematics 292 486 (2016)
DOI: 10.1016/j.cam.2015.07.020
See this article

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)
DOI: 10.1016/j.cma.2015.07.007
See this article

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)
DOI: 10.1002/fld.2362
See this article

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)
DOI: 10.1016/j.cma.2011.02.009
See this article

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)
DOI: 10.1016/j.cma.2010.07.016
See this article

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)
DOI: 10.1016/j.cma.2008.07.018
See this article

A posteriori error analysis of a fully-mixed formulation for the Navier–Stokes/Darcy coupled problem with nonlinear viscosity

Sergio Caucao, Gabriel N. Gatica and Ricardo Oyarzúa
Computer Methods in Applied Mechanics and Engineering 315 943 (2017)
DOI: 10.1016/j.cma.2016.11.035
See this article

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)
DOI: 10.1137/080713069
See this article

A posteriori error analysis of an augmented mixed method for the Navier–Stokes equations with nonlinear viscosity

Gabriel N. Gatica, Ricardo Ruiz-Baier and Giordano Tierra
Computers & Mathematics with Applications 72 (9) 2289 (2016)
DOI: 10.1016/j.camwa.2016.08.032
See this article

New a posteriori error estimator for an stabilized mixed method applied to incompressible fluid flows

Tomás P. Barrios, Edwin M. Behrens and María González
Applied Mathematics and Computation 351 37 (2019)
DOI: 10.1016/j.amc.2019.01.020
See this article

A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow

Ricardo Oyarzúa, Manuel Solano and Paulo Zúñiga
Computer Methods in Applied Mechanics and Engineering 360 112780 (2020)
DOI: 10.1016/j.cma.2019.112780
See this article

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)
DOI: 10.1002/fld.4793
See this article

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)
DOI: 10.1016/j.cma.2016.09.012
See this article