Year: 2009
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 147–160
Abstract
In this paper, we are concerned with a non-overlapping domain decomposition method with nonmatching grids. In this method, a new pointwise matching condition is used to define weak continuity of approximate solutions on the interface. The main merit of the new method is that numerical integrations can be avoided when calculating interface matrices. We derive an almost optimal error estimate of the resulting approximate solutions for two kinds of applicable situations. Some numerical experiments confirm the theoretical result.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-IJNAM-760
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 147–160
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Domain decomposition nonmatching grids pointwise matching error estimate.