A finite element method for domain decomposition with non-matching grids
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. firstname.lastname@example.org.
3 Institute of Mathematics, Box 1100, 02015 Helsinki University of Technology, Finland.
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