| Issue |
ESAIM: M2AN
Volume 37, Number 2, March/April 2003
|
|
|---|---|---|
| Page(s) | 209 - 225 | |
| DOI | https://doi.org/10.1051/m2an:2003023 | |
| Published online | 15 November 2003 | |
A finite element method for domain decomposition with non-matching grids
1
Institute of Applied Mathematics, University of Heidelberg, INF 294,
69120 Heidelberg, Germany.
2
Department of Applied Mechanics, Chalmers University of
Technology, 412 96 Göteborg, Sweden. hansbo@am.chalmers.se.
3
Institute of Mathematics,
Box 1100,
02015 Helsinki University of Technology,
Finland.
Received:
3
September
2001
Revised:
21
October
2002
In this note, we propose and analyse a method for handling interfaces between non-matching grids based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson's equation as a model. A priori and a posteriori error estimates are given. Some numerical results are included.
Mathematics Subject Classification: 65N30 / 65N55
Key words: Nitsche's method / domain decomposition / non-matching grids.
© EDP Sciences, SMAI, 2003
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