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Finite element methods on non-conforming gridsby penalizing the matching constraint

Published online by Cambridge University Press:  15 November 2003

Eric Boillat
Eric Boillat*
Affiliation:
Department of Mechanical Engineering, Laboratory for Production Management and Process, EPFL, 1015 Lausanne, Switzerland. eric.boillat@epfl.ch.
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Abstract

The present paper deals with a finite element approximation of partial differential equations when the domain is decomposed into sub-domains which are meshed independently. The method we obtain is never conforming because the continuity constraints on the boundary of the sub-domains are not imposed strongly but only penalized. We derive a selection rule for the penalty parameter which ensures a quasi-optimal convergence.

Keywords

Finite element methodsnon-matching gridspenalty technique.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 2 , March 2003 , pp. 357 - 372
Copyright
© EDP Sciences, SMAI, 2003

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