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A conforming finite element method for overlapping and nonmatching grids
Author(s):
Yunqing
Huang;
Jinchao
Xu.
Journal:
Math. Comp.
72
(2003),
1057-1066.
MSC (2000):
Primary 65F10, 65N30
Posted:
November 18, 2002
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Abstract:
In this paper we propose a finite element method for nonmatching overlapping grids based on the partition of unity. Both overlapping and nonoverlapping cases are considered. We prove that the new method admits an optimal convergence rate. The error bounds are in terms of local mesh sizes and they depend on neither the overlapping size of the subdomains nor the ratio of the mesh sizes from different subdomains. Our results are valid for multiple subdomains and any spatial dimensions.
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Additional Information:
Yunqing
Huang
Affiliation:
Institute for Computational and Applied Mathematics and Department of Mathematics, Xiangtan University, Peoples Republic of China, 411105
Email:
huangyq@mail.xtu.edu.cn
Jinchao
Xu
Affiliation:
Center for Computational Mathematics and Applications Pennsylvania State University, University Park, Pennsylvania 16803
Email:
xu@math.psu.edu, http:////www.math.psu.edu/xu
DOI:
10.1090/S0025-5718-02-01459-X
PII:
S 0025-5718(02)01459-X
Keywords:
Nonmatching grid,
partition of unity,
finite element,
overlapping,
domain decomposition,
mortar
Received by editor(s):
May 30, 2001
Received by editor(s) in revised form:
November 7, 2001
Posted:
November 18, 2002
Additional Notes:
The work was subsidized by the special funds for Major State Basic Research Projects through Xiangtan University, PRC, and partially supported by NSF DMS-0074299 through Pennsylvania State University and the Center for Computational Mathematics and Applications
Copyright of article:
Copyright
2002,
American Mathematical Society
Forward Citation(s): Information for authors on submitting citations The following works have cited this article Yunqing Huang, Jinchao Xu, A conforming finite element method for overlapping and nonmatching grids, Mathematics of Computation 72 (2003), 1057-1066.
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