Year: 1990
Author: Guo-Ping Liang, Ping Liang
Journal of Computational Mathematics, Vol. 8 (1990), Iss. 4 : pp. 363–370
Abstract
We present a non-conforming domain decomposition technique for solving elliptic problems with the finite element method. Functions in the finite element space associated with this method may be discontinuous on the boundary of subdomains. The sizes of the finite meshes, the kinds of elements and the kinds of interpolation functions may be different in different subdomains. So, this method is more convenient and more efficient than the conforming domain decomposition method. We prove that the solution obtained by this method has the same convergence rate as by the conforming method, and both the condition number and the order of the capacitance matrix are much lower than those in the conforming case.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1990-JCM-9448
Journal of Computational Mathematics, Vol. 8 (1990), Iss. 4 : pp. 363–370
Published online: 1990-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8