Domain Decomposition with Nonmatching Grids for Exterior Transmission Problems via FEM and DtN Mapping

Authors

  • Ju-E Yang & De-Hao Yu

Keywords:

Domain decomposition, Nature boundary element, Nonmatching grids, Weak continuity, D-N alternating, Dual basis, Projection operator, Error estimate.

Abstract

In this paper, we are concerned with a non-overlapping domain decomposition method (DDM) for exterior transmission problems in the plane. Based on the natural boundary integral operator, we combine the DDM with a Dirichlet-to-Neumann (DtN) mapping and provide the numerical analysis with nonmatching grids. The weak continuity of the approximation solutions on the interface is imposed by a dual basis multiplier. We show that this multiplier space can generate optimal error estimate and obtain the corresponding rate of convergence. Finally, several numerical examples confirm the theoretical results.  

Published

2006-06-02

Issue

Section

Articles