Year: 1994
Author: Jin-Sheng Gu, Xian-Cheng Hu
Journal of Computational Mathematics, Vol. 12 (1994), Iss. 2 : pp. 132–137
Abstract
A class of nonconforming finite elements is considered in this paper, which is continuous only at the nodes of the quasi-uniform mesh. We show that there exists an essential estimate which indicates the equivalence relation, independent of the mesh parameter, between the energies of the nonconforming discrete harmonic extensions in different subdomains. The essential estimate is of great importance in the analysis of the nonoverlapping domain decomposition methods applied to second order partial differential equations discretized by nonconforming finite elements.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1994-JCM-9282
Journal of Computational Mathematics, Vol. 12 (1994), Iss. 2 : pp. 132–137
Published online: 1994-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6