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

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.

Mots clés: Anisotropic solution; Error estimator; Mixed FEM; Stretched elements

Domaines: Mathématiques [math]

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, 2006, 23, pp.38-62. ⟨hal-00768689⟩