Multi-parameter extrapolation methods for boundary integral equations | |
Rude, U; Zhou, A | |
刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS |
1998 | |
卷号 | 9期号:1-2页码:173-190 |
ISSN号 | 1019-7168 |
英文摘要 | Multi-parameter extrapolation was first introduced by Zhou et al, for solving partial differential equations with finite element methods in 1994. The method is based on a domain decomposition and independent discretization of the subdomains resulting in a multi-parameter error expansion. This permits a generalized extrapolation technique. The algorithm is naturally parallel since the main computational work is spent in solving independent linear systems. Here the method is extended to the case of boundary integral equations on polygonal domains, where singularities require graded meshes. A complete analysis is given, based on weighted norm techniques. Several numerical experiments demonstrate the mathematical features and practical usefulness of the method. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | BALTZER SCI PUBL BV |
WOS记录号 | WOS:000076442800010 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13769] |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.Univ Augsburg, Inst Math, D-86135 Augsburg, Germany 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Rude, U,Zhou, A. Multi-parameter extrapolation methods for boundary integral equations[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,1998,9(1-2):173-190. |
APA | Rude, U,&Zhou, A.(1998).Multi-parameter extrapolation methods for boundary integral equations.ADVANCES IN COMPUTATIONAL MATHEMATICS,9(1-2),173-190. |
MLA | Rude, U,et al."Multi-parameter extrapolation methods for boundary integral equations".ADVANCES IN COMPUTATIONAL MATHEMATICS 9.1-2(1998):173-190. |
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