A Finite Element Method for Domain Decomposition with Non-Matching Grids
Résumé
In this note we propose and analyse a new method for handling interfaces between non-matching grids based on an approach suggested by Nitsche [12] 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, and we discuss the relation to the mortar finite element method. Some numerical results are included.