DOMAIN DECOMPOSITION WITH NONMATCHING GRIDS FOR EXTERIOR TRANSMISSION PROBLEMS VIA FEM AND DTN MAPPING

• 来源期刊: 计算数学（英文版）
• 关键词: Domain decomposition Nature boundary element Nonmatching grids Weak continuity D-N alternating Dual basis Projection operator Error estimate.
• 年，卷（期）: 2006,（3）
• 页码范围: 323-342
• 页数: 20页
• 语种: 英文

摘要

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.