Generalized Extrapolation for Computation of Hypersingular Integrals in Boundary Element Methods
文献类型：期刊论文
| 作者 | Li, Jin1; Wu, Ji-ming2; Yu, De-hao1 |
| 刊名 | CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
 |
| 出版日期 | 2009-03-01 |
| 卷号 | 42期号:2页码:151-175 |
| 关键词 | Hypersingular integrals trapezoidal rule asymptotic error expansion extrapolation algorithm |
| ISSN号 | 1526-1492 |
| 英文摘要 | The trapezoidal rule for the computation of Hadamard finite-part integrals in boundary element methods is discussed, and the asymptotic expansion of error function is obtained. A series to approach the singular point is constructed and the convergence rate is proved. Based on the asymptotic expansion of the error functional, algorithm with theoretical analysis of the generalized extrapolation are given. Some examples show that the numerical results coincide with the theoretic analysis very well. |
| 资助项目 | National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10531080] ; National Natural Science Foundation of China[10871030] ; Natural Science Foundation of Beijing[1072009] ; Laboratory of Computational Physics |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000266569000004 |
| 出版者 | TECH SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7724]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Jin |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Jin,Wu, Ji-ming,Yu, De-hao. Generalized Extrapolation for Computation of Hypersingular Integrals in Boundary Element Methods[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2009,42(2):151-175. |
| APA | Li, Jin,Wu, Ji-ming,&Yu, De-hao.(2009).Generalized Extrapolation for Computation of Hypersingular Integrals in Boundary Element Methods.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,42(2),151-175. |
| MLA | Li, Jin,et al."Generalized Extrapolation for Computation of Hypersingular Integrals in Boundary Element Methods".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 42.2(2009):151-175. |
入库方式： OAI收割
来源：数学与系统科学研究院
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