Wavelet method for boundary integral equations
Zhang, PW; Zhang, Y
AbstractIn this paper, we show how to use wavelet to discretize the boundary integral equations which are both singular and ill-conditioned. By using an explicit diagonal preconditioning, the condition number of the corresponding matrix is bounded by a constant, while the sparse structure speed up the iterative solving process. Using an iterative method, one thus obtains a fast numerical algorithm to solve the boundary integral equations.
Keywordwavelet bases boundary integral equation preconditioning
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000085560500003
PublisherVSP BV
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Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhang, PW,Zhang, Y. Wavelet method for boundary integral equations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2000,18(1):25-42.
APA Zhang, PW,&Zhang, Y.(2000).Wavelet method for boundary integral equations.JOURNAL OF COMPUTATIONAL MATHEMATICS,18(1),25-42.
MLA Zhang, PW,et al."Wavelet method for boundary integral equations".JOURNAL OF COMPUTATIONAL MATHEMATICS 18.1(2000):25-42.
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