A priori and a posteriori error estimations for the dual mixed finite element method of the Navier-Stokes problem

M. Farhloul; S. Nicaise; L. Paquet

doi:10.1002/num.20377

A priori and a posteriori error estimations for the dual mixed finite element method of the Navier-Stokes problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20377 ◽

2009 ◽

Vol 25 (4) ◽

pp. 843-869 ◽

Cited By ~ 8

Author(s):

M. Farhloul ◽

S. Nicaise ◽

L. Paquet

Keyword(s):

Finite Element Method ◽

Stokes Problem ◽

Mixed Finite Element ◽

A Priori ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

A Posteriori Error ◽

Error Estimations

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A posteriori error estimation for the dual mixed finite element method of the Stokes problem

Comptes Rendus Mathematique ◽

10.1016/j.crma.2004.08.002 ◽

2004 ◽

Vol 339 (7) ◽

pp. 513-518 ◽

Cited By ~ 1

Author(s):

Mohamed Farhloul ◽

Serge Nicaise ◽

Luc Paquet

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimation ◽

Stokes Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.01.017 ◽

2007 ◽

Vol 200 (2) ◽

pp. 653-676 ◽

Cited By ~ 12

Author(s):

Tomás P. Barrios ◽

Gabriel N. Gatica

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Lagrange Multipliers ◽

Mixed Finite Element ◽

A Priori ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Error Analyses

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A Posteriori Error Estimation for the Dual Mixed Finite Element Method of the Stokes Problem

Numerical Functional Analysis and Optimization ◽

10.1080/01630560600883077 ◽

2006 ◽

Vol 27 (7-8) ◽

pp. 831-846 ◽

Cited By ~ 4

Author(s):

M. Farhloul ◽

S. Nicaise ◽

L. Paquet

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimation ◽

Stokes Problem ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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Augmented mixed finite element method for the Oseen problem: A priori and a posteriori error analyses

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.09.012 ◽

2017 ◽

Vol 313 ◽

pp. 216-238 ◽

Cited By ~ 10

Author(s):

Tomás P. Barrios ◽

J. Manuel Cascón ◽

María González

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

A Priori ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Error Analyses ◽

Oseen Problem

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A posteriori error estimation for the dual mixed finite element method of the elasticity problem in a polygonal domain

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20069 ◽

2005 ◽

Vol 21 (5) ◽

pp. 938-960 ◽

Cited By ~ 4

Author(s):

L. Boulaajine ◽

M. Farhloul ◽

L. Paquet

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

Polygonal Domain ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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{\em A POSTERIORI} ERROR ESTIMATION FOR A DUAL MIXED FINITE ELEMENT METHOD FOR QUASI--NEWTONIAN FLOWS WHOSE VISCOSITY OBEYS A POWER LAW OR CARREAU LAW

International Journal of Apllied Mathematics ◽

10.12732/ijam.v30i5.1 ◽

2017 ◽

Vol 30 (5) ◽

Author(s):

M. Farhloul ◽

A. Zine

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Newtonian Flows

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A posteriori error estimations for mixed finite element approximations to the Navier–Stokes equations based on Newton-type linearization

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112429 ◽

2020 ◽

Vol 367 ◽

pp. 112429 ◽

Cited By ~ 1

Author(s):

Francisco Durango ◽

Julia Novo

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Error Estimations

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A posteriori error estimator for eigenvalue problems by mixed finite element method

Science China Mathematics ◽

10.1007/s11425-013-4614-0 ◽

2013 ◽

Vol 56 (5) ◽

pp. 887-900 ◽

Cited By ~ 6

Author(s):

ShangHui Jia ◽

HongTao Chen ◽

HeHu Xie

Keyword(s):

Finite Element Method ◽

Eigenvalue Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Posteriori Error Estimator ◽

A Posteriori Error

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A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a-posteriori error estimate

Numerische Mathematik ◽

10.1007/s002110100337 ◽

2002 ◽

Vol 91 (2) ◽

pp. 197-222 ◽

Cited By ~ 31

Author(s):

Mauricio A. Barrientos ◽

Gabriel N. Gatica ◽

Ernst P. Stephan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

A Posteriori Error Estimate ◽

Posteriori Error Estimate ◽

A Posteriori ◽

A Posteriori Error

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A priori and a posteriori error estimates of H 1 -Galerkin mixed finite element method for parabolic optimal control problems

Optimal Control Applications and Methods ◽

10.1002/oca.2312 ◽

2017 ◽

Vol 38 (6) ◽

pp. 1056-1070 ◽

Cited By ~ 3

Author(s):

Pratibha Shakya ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

A Posteriori Error Estimates ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Parabolic Optimal Control

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