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multigridalgorithmforthecouplingsystemofnaturalboundaryelementmethodandfiniteelementmethodforunboundeddomainproblems
Sheng Zhang1; Dehao Yu2
2007
Source Publicationjournalofcomputationalmathematics
ISSN0254-9409
Volume25Issue:1Pages:13
AbstractIn this paper, some V-cycle multigrid algorithms are presented for the coupling system arising from the discretization of the Dirichlet exterior problem by coupling the natural boundary element method and finite element method. The convergence of these multigrid algorithms is obtained even with only one smoothing on all levels. The rate of convergence is found uniformly bounded independent of the number of levels and the mesh sizes of all levels, which indicates that these multigrid algorithms axe optimal. Some numerical results are also reported.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/49461
Collection中国科学院数学与系统科学研究院
Affiliation1.南开大学
2.中国科学院数学与系统科学研究院
Recommended Citation
GB/T 7714
Sheng Zhang,Dehao Yu. multigridalgorithmforthecouplingsystemofnaturalboundaryelementmethodandfiniteelementmethodforunboundeddomainproblems[J]. journalofcomputationalmathematics,2007,25(1):13.
APA Sheng Zhang,&Dehao Yu.(2007).multigridalgorithmforthecouplingsystemofnaturalboundaryelementmethodandfiniteelementmethodforunboundeddomainproblems.journalofcomputationalmathematics,25(1),13.
MLA Sheng Zhang,et al."multigridalgorithmforthecouplingsystemofnaturalboundaryelementmethodandfiniteelementmethodforunboundeddomainproblems".journalofcomputationalmathematics 25.1(2007):13.
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