fastfouriergalerkinmethodsforfirstkindlogarithmickernelintegralequationsonopenarcs
文献类型：期刊论文
| 作者 | Wang Bo3; Wang Rui2; Xu Yuesheng1 |
| 刊名 | sciencechinamathematics
 |
| 出版日期 | 2010 |
| 卷号 | 53期号:1页码:1 |
| ISSN号 | 1674-7283 |
| 英文摘要 | 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 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/36250]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.雪城大学 2.中国科学院大学 3.中国科学院数学与系统科学研究院 |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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