Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs
文献类型：期刊论文
| 作者 | Wang Bo4; Wang Rui3; Xu YueSheng1,2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2010 |
| 卷号 | 53期号:1页码:1-22 |
| 关键词 | Dirichlet problem open arc singular boundary integral equations Fourier-Galerkin methods logarithmic potentials |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-0014-x |
| 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. |
| 资助项目 | GUCAS ; US National Science Foundation[CCR-0407476] ; US National Science Foundation[DMS-0712827] ; National Natural Science Foundation of China[10371122] ; National Natural Science Foundation of China[10631080] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000276546200001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9981]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu YueSheng |
| 作者单位 | 1.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA 2.Sun Yat Sen Univ, Dept Sci Comp & Comp Applicat, Guangzhou 510275, Guangdong, Peoples R China 3.Chinese Acad Sci, Grad Univ, Sch Informat Sci & Engn, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang Bo,Wang Rui,Xu YueSheng. Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs[J]. SCIENCE CHINA-MATHEMATICS,2010,53(1):1-22. |
| APA | Wang Bo,Wang Rui,&Xu YueSheng.(2010).Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs.SCIENCE CHINA-MATHEMATICS,53(1),1-22. |
| MLA | Wang Bo,et al."Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs".SCIENCE CHINA-MATHEMATICS 53.1(2010):1-22. |
入库方式： OAI收割
来源：数学与系统科学研究院
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