@Article{JCM-24-3,
author = {},
title = {Domain Decomposition with Nonmatching Grids for Exterior Transmission Problems via FEM and DtN Mapping},
journal = {Journal of Computational Mathematics},
year = {2006},
volume = {24},
number = {3},
pages = {323--342},
abstract = {<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>},
issn = {1991-7139},
doi = {https://doi.org/2006-JCM-8755},
url = {https://global-sci.com/article/85076/domain-decomposition-with-nonmatching-grids-for-exterior-transmission-problems-via-fem-and-dtn-mapping}
}