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A finite element method on composite grids based on Nitsche's method

Published online by Cambridge University Press:  15 April 2004

Anita Hansbo ,
Peter Hansbo  and
Mats G. Larson
Anita Hansbo
Affiliation:
Department of Informatics and Mathematics, University of Trollhättan Uddevalla, Box 957, 461 39 Trollhättan, Sweden. [email protected].
Peter Hansbo
Affiliation:
Department of Applied Mechanics, Chalmers University of Technology, 412 96 Göteborg, Sweden.
Mats G. Larson
Affiliation:
Department of Mathematics, Chalmers University of Technology, 412 96 Göteborg, Sweden.
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Abstract

In this paper we propose a finite element method for the approximation of second order elliptic problems on composite grids. The method is based on continuous piecewise polynomial approximation on each grid and weak enforcement of the proper continuity at an artificial interface defined by edges (or faces) of one the grids. We prove optimal order a priori and energy type a posteriori error estimates in 2 and 3 space dimensions, and present some numerical examples.

Keywords

Nitsche's methodoverlapping grids.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 3 , May 2003 , pp. 495 - 514
Copyright
© EDP Sciences, SMAI, 2003

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