fastfouriergalerkinmethodsforfirstkindlogarithmickernelintegralequationsonopenarcs

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	fastfouriergalerkinmethodsforfirstkindlogarithmickernelintegralequationsonopenarcs
	Wang Bo 1; Wang Rui 2; Xu Yuesheng 3
	2010
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	53 期号:1 页码:1
摘要	We propose a fully discrete fast Fourier-Galerkin method for solving an integral equation of the first kind with a logarithmic kernel on a smooth open arc, which is a reformulation of the Dirichlet problem of the Laplace equation in the plane. The optimal convergence order and quasi-linear complexity order of the proposed method are established. A precondition is introduced. Combining this method with an efficient numerical integration algorithm for computing the single-layer potential defined on an open arc, we obtain the solution of the Dirichlet problem on a smooth open arc in the plane. Numerical examples are presented to confirm the theoretical estimates and to demonstrate the efficiency and accuracy of the proposed method
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/36251
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.中国科学院大学 3.雪城大学
推荐引用方式 GB/T 7714	Wang Bo,Wang Rui,Xu Yuesheng. fastfouriergalerkinmethodsforfirstkindlogarithmickernelintegralequationsonopenarcs[J]. sciencechinamathematics,2010,53(1):1.
APA	Wang Bo,Wang Rui,&Xu Yuesheng.(2010).fastfouriergalerkinmethodsforfirstkindlogarithmickernelintegralequationsonopenarcs.sciencechinamathematics,53(1),1.
MLA	Wang Bo,et al."fastfouriergalerkinmethodsforfirstkindlogarithmickernelintegralequationsonopenarcs".sciencechinamathematics 53.1(2010):1.