Extrapolation methods to compute hypersingular integral in boundary element methods
文献类型：期刊论文
| 作者 | Li Jin2; Zhang XiaoPing3; Yu DeHao1 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2013 |
| 卷号 | 56期号:8页码:1647-1660 |
| 关键词 | CAUCHY PRINCIPAL VALUE FINITE-PART INTEGRALS GAUSSIAN QUADRATURE SINGULAR-INTEGRALS NUMERICAL-SOLUTION EQUATIONS SUPERCONVERGENCE CIRCLE hypersingular integrals trapezoidal rule asymptotic error expansion extrapolation algorithm |
| ISSN号 | 1674-7283 |
| 其他题名 | Extrapolation methods to compute hypersingular integral in boundary element methods |
| 英文摘要 | The composite trapezoidal rule for the computation of Hadamard finite-part integrals in boundary element methods with the hypersingular kernel 1/sin(2)(x - s) is discussed, and the main part of the asymptotic expansion of error function is obtained. Based on the main part of the asymptotic expansion, a series is constructed to approach the singular point. An extrapolation algorithm is presented and the convergence rate is proved. Some numerical results are also presented to confirm the theoretical results and show the efficiency of the algorithms. |
| 资助项目 | [National Natural Science Foundation of China] ; [Shandong Provincial Natural Science Foundation of China] ; [Shandong Province Higher Educational Science and Technology Program] ; [National Basic Research Program of China] ; [Reward Fund of CAS for National Prize] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4893754 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/55659]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.厦门大学 2.山东建筑大学 3.武汉大学 4.中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Li Jin,Zhang XiaoPing,Yu DeHao. Extrapolation methods to compute hypersingular integral in boundary element methods[J]. SCIENCE CHINA-MATHEMATICS,2013,56(8):1647-1660. |
| APA | Li Jin,Zhang XiaoPing,&Yu DeHao.(2013).Extrapolation methods to compute hypersingular integral in boundary element methods.SCIENCE CHINA-MATHEMATICS,56(8),1647-1660. |
| MLA | Li Jin,et al."Extrapolation methods to compute hypersingular integral in boundary element methods".SCIENCE CHINA-MATHEMATICS 56.8(2013):1647-1660. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。