Volume 33, Number 4, July August 1999
|Page(s)||771 - 780|
|Published online||15 August 2002|
3D domain decomposition method coupling conforming and nonconforming finite elements
Université Claude Bernard - Lyon I and UMR 5585,
43 bd. du 11 Novembre 1918, 69622 Villeurbanne, France. firstname.lastname@example.org.
2 Ecole d'Ingénieurs en Génie des Systèmes Industriels, 17041 La Rochelle, France.
3 Laboratoire de Mathématiques Appliquées pour l'Industrie, UPRES A 5033, Université de Pau, 64000 Pau, France.
Revised: 2 October 1998
This paper deals with the solution of problems involving partial differential equations in . 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 which uses low degree finite elements. The numerical approximation of the solution is easy, and optimal error bounds are obtained according to suitable norms.
Mathematics Subject Classification: 65N30
Key words: Domain decomposition / hybrid finite elements methods.
© EDP Sciences, SMAI, 1999
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