EXTRAPOLATION OF NYSTROM SOLUTIONS OF BOUNDARY INTEGRAL-EQUATIONS ON NONSMOOTH DOMAINS

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	EXTRAPOLATION OF NYSTROM SOLUTIONS OF BOUNDARY INTEGRAL-EQUATIONS ON NONSMOOTH DOMAINS
	GRAHAM, IG ; LIN, Q ; XIE, RF
	1992-07-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	10 期号:3 页码:231-244
摘要	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).
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:A1992JE41000005
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/27560
专题	中国科学院数学与系统科学研究院
作者单位	1.UNIV BATH,SCH MATH SCI,BATH BA2 7AY,AVON,ENGLAND 2.CHINESE ACAD SCI,INST SYST SCI,BEIJING,PEOPLES R CHINA
推荐引用方式 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.