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A posteriori ErrorEstimates For the 3D Stabilized Mortar Finite Element Methodapplied to the Laplace Equation

Published online by Cambridge University Press:  15 November 2003

Zakaria Belhachmi
Zakaria Belhachmi*
Affiliation:
Laboratoire de Mathématiques LMAM, UMR7122, Université de Metz, Ile du Saulcy, 57045 Metz, France. belhach@poncelet.sciences.univ-metz.fr.
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Abstract

We consider a non-conforming stabilized domain decomposition technique for the discretization of the three-dimensional Laplace equation. The aim is to extend the numerical analysis of residual error indicators to this model problem. Two formulations of the problem are considered and the error estimators are studied for both. In the first one, the error estimator provides upper and lower bounds for the energy norm of the mortar finite element solution whereas in the second case, it also estimates the error for the Lagrange multiplier.

Keywords

Mortar finite element methoda posteriori estimatesmixed variational formulationstabilization techniquenon-matching grids.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 6 , November 2003 , pp. 991 - 1011
Copyright
© EDP Sciences, SMAI, 2003

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