Domain Decomposition with Nonmatching Grids for Exterior Transmission Problems via FEM and DtN Mapping
Year: 2006
Journal of Computational Mathematics, Vol. 24 (2006), Iss. 3 : pp. 323–342
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-JCM-8755
Journal of Computational Mathematics, Vol. 24 (2006), Iss. 3 : pp. 323–342
Published online: 2006-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Domain decomposition Nature boundary element Nonmatching grids Weak continuity D-N alternating Dual basis Projection operator Error estimate.