TY - JOUR
T1 - Domain Decomposition with Nonmatching Grids for Exterior Transmission Problems via FEM and DtN Mapping
JO - Journal of Computational Mathematics
VL - 3
SP - 323
EP - 342
PY - 2006
DA - 2006/06
SN - 24
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8755.html
KW - Domain decomposition, Nature boundary element, Nonmatching grids, Weak
continuity, D-N alternating, Dual basis, Projection operator, Error estimate.
AB - <p style="text-align: justify;">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. &nbsp;</p>