KMS Of Academy of mathematics and systems sciences, CAS
EXTRAPOLATION OF NYSTROM SOLUTIONS OF BOUNDARY INTEGRAL-EQUATIONS ON NONSMOOTH DOMAINS | |
GRAHAM, IG; LIN, Q; XIE, RF | |
1992-07-01 | |
Source Publication | JOURNAL OF COMPUTATIONAL MATHEMATICS |
ISSN | 0254-9409 |
Volume | 10Issue:3Pages:231-244 |
Abstract | The 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 Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:A1992JE41000005 |
Publisher | VSP BV |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/27560 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | 1.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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