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Error indicators for the mortar finite element discretization of the Laplace equation

Authors: Christine Bernardi and Frédéric Hecht
Journal: Math. Comp. 71 (2002), 1371-1403
MSC (2000): Primary 65N30; Secondary 65N50, 65N55
Published electronically: December 4, 2001
MathSciNet review: 1933036
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Abstract | References | Similar Articles | Additional Information

Abstract: The mortar technique turns out to be well adapted to handle mesh adaptivity in finite elements, since it allows for working with nonnecessarily compatible discretizations on the elements of a nonconforming partition of the initial domain. The aim of this paper is to extend the numerical analysis of residual error indicators to this type of methods for a model problem and to check their efficiency thanks to some numerical experiments.

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Additional Information

Christine Bernardi
Affiliation: Analyse Numérique, C.N.R.S. et Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France

Frédéric Hecht
Affiliation: Analyse Numérique, C.N.R.S. et Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France

Received by editor(s): April 4, 2000
Received by editor(s) in revised form: October 10, 2000
Published electronically: December 4, 2001
Article copyright: © Copyright 2001 American Mathematical Society