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Isotropic and anisotropic error estimation of the mixed finite element method for second order operators in divergence form

Serge Nicaise 1 Emmanuel Creusé 2
1 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015
2 SIMPAF - SImulations and Modeling for PArticles and Fluids
LPP - Laboratoire Paul Painlevé - UMR 8524, Inria Lille - Nord Europe
Abstract : This paper presents an a posteriori residual error estimator for the mixed FEM of second order operators using isotropic or anisotropic meshes in $R^d$, $d$=2 or 3. The reliability and efficiency of our estimator is established without any regularity assumptions on the solution of our problem.
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https://hal.inria.fr/hal-00768689
Contributor : Emmanuel Creusé <>
Submitted on : Saturday, December 22, 2012 - 10:17:12 PM
Last modification on : Wednesday, April 21, 2021 - 11:18:07 AM

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  • HAL Id : hal-00768689, version 1

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CNRS | INRIA | UNIV-LILLE | UNIV-VALENCIENNES | LAMAV | INSMI

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Serge Nicaise, Emmanuel Creusé. Isotropic and anisotropic error estimation of the mixed finite element method for second order operators in divergence form. Electronic Transactions on Numerical Analysis, Kent State University Library, 2006, 23, pp.38-62. ⟨hal-00768689⟩

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