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3D domain decomposition method coupling conforming and nonconforming finite elements

Published online by Cambridge University Press:  15 August 2002

Abdellatif Agouzal ,
Laurence Lamoulie  and
Jean-Marie Thomas
Abdellatif Agouzal
Affiliation:
Université Claude Bernard - Lyon I and UMR 5585, 43 bd. du 11 Novembre 1918, 69622 Villeurbanne, France. [email protected].
Laurence Lamoulie
Affiliation:
Ecole d'Ingénieurs en Génie des Systèmes Industriels, 17041 La Rochelle, France.
Jean-Marie Thomas
Affiliation:
Laboratoire de Mathématiques Appliquées pour l'Industrie, UPRES A 5033, Université de Pau, 64000 Pau, France.
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Abstract

This paper deals with the solution of problems involving partial differential equations in  $\mathbb{R}^3$ . For three dimensional case, methods are useful if they require neither domain boundary regularity nor regularity for the exact solution of the problem. A new domain decomposition method is therefore presented whichuses low degree finite elements. The numerical approximation of the solution is easy, and optimal error bounds are obtained according to suitablenorms.

Keywords

Domain decompositionhybrid finite elements methods.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 4 , July 1999 , pp. 771 - 780
Copyright
© EDP Sciences, SMAI, 1999

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