Some Estimates with Nonconforming Elements in Domain Decomposition Analysis

Some Estimates with Nonconforming Elements in Domain Decomposition Analysis

Year:    1998

Author:    Jinsheng Gu, Xiancheng Hu

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 1 : pp. 63–80

Abstract

Some essential estimates, especially the so-called extension theorems, are established in this paper, for the nonconforming finite elements with their continuity at the vertices or the edge midpoints of the elements of the quasi-uniform mesh. As in the conforming discrete cases, these estimates play key roles in the theoretical analysis of the nonoverlap domain decomposition methods for the solving of second order self-adjoint elliptic problems discretized by the nonconforming finite element methods.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1998-JCM-9142

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 1 : pp. 63–80

Published online:    1998-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Nonconforming finite element extension theorem domain decomposition elliptic problem.

Author Details

Jinsheng Gu

Xiancheng Hu