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EXTRAPOLATION OF NYSTROM SOLUTIONS OF BOUNDARY INTEGRAL-EQUATIONS ON NONSMOOTH DOMAINS
GRAHAM, IG; LIN, Q; XIE, RF
1992-07-01
Source PublicationJOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
Volume10Issue:3Pages:231-244
AbstractThe interior Dirichlet problem for Laplace's equation on a plane polygonal region OMEGA with boundary GAMMA may be reformulated as a second kind integral equation on GAMMA. This equation may be solved by the Nystrom method using the composite trapezoidal rule. It is known that if the mesh has O(n) points and is graded appropriately, then O(1/n2) convergence is obtained for the solution of the integral equation and the associated solution to the Dirichlet problem at any x is-an-element-of OMEGA. We present a simple extrapolation scheme which increases these rates of convergence to O(1/n4).
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:A1992JE41000005
PublisherVSP BV
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/27560
Collection中国科学院数学与系统科学研究院
Affiliation1.UNIV BATH,SCH MATH SCI,BATH BA2 7AY,AVON,ENGLAND
2.CHINESE ACAD SCI,INST SYST SCI,BEIJING,PEOPLES R CHINA
Recommended Citation
GB/T 7714
GRAHAM, IG,LIN, Q,XIE, RF. EXTRAPOLATION OF NYSTROM SOLUTIONS OF BOUNDARY INTEGRAL-EQUATIONS ON NONSMOOTH DOMAINS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1992,10(3):231-244.
APA GRAHAM, IG,LIN, Q,&XIE, RF.(1992).EXTRAPOLATION OF NYSTROM SOLUTIONS OF BOUNDARY INTEGRAL-EQUATIONS ON NONSMOOTH DOMAINS.JOURNAL OF COMPUTATIONAL MATHEMATICS,10(3),231-244.
MLA GRAHAM, IG,et al."EXTRAPOLATION OF NYSTROM SOLUTIONS OF BOUNDARY INTEGRAL-EQUATIONS ON NONSMOOTH DOMAINS".JOURNAL OF COMPUTATIONAL MATHEMATICS 10.3(1992):231-244.
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