KMS Of Academy of mathematics and systems sciences, CAS
Trapezoidal Rule for Computing Supersingular Integral on a Circle | |
Li, Jin1,2; Rui, Hongxing2; Yu, Dehao3,4 | |
2016-02-01 | |
发表期刊 | JOURNAL OF SCIENTIFIC COMPUTING |
ISSN | 0885-7474 |
卷号 | 66期号:2页码:740-760 |
摘要 | The computation of trapezoidal rule for the supersingular integrals on a circle in boundary element methods is discussed. When the singular point coincides with some priori known point, the convergence rate of the trapezoidal rule is higher than the global one which is considered as the superconvergence phenomenon. Then the error functional of density function is derived and the superconvergence phenomenon of composite trapezoidal rule occurs at certain local coordinate of each subinterval. At last, several numerical examples are provided to validate the theoretical analysis and show the efficiency of the algorithms. |
关键词 | Supersingular integral Composite trapezoidal rule Error expansion Superconvergence Boundary element methods |
DOI | 10.1007/s10915-015-0042-3 |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[11471195] ; National Natural Science Foundation of China[11201209] ; National Natural Science Foundation of China[91330106] ; China Postdoctoral Science Foundation fund[2013M540541] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000368733500013 |
出版者 | SPRINGER/PLENUM PUBLISHERS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/21851 |
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.Shandong Jianzhu Univ, Sch Sci, Jinan 250101, Peoples R China 2.Shandong Univ, Sch Math, Jinan 250100, Peoples R China 3.Xiamen Univ, Sch Math, Xiamen 361005, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Jin,Rui, Hongxing,Yu, Dehao. Trapezoidal Rule for Computing Supersingular Integral on a Circle[J]. JOURNAL OF SCIENTIFIC COMPUTING,2016,66(2):740-760. |
APA | Li, Jin,Rui, Hongxing,&Yu, Dehao.(2016).Trapezoidal Rule for Computing Supersingular Integral on a Circle.JOURNAL OF SCIENTIFIC COMPUTING,66(2),740-760. |
MLA | Li, Jin,et al."Trapezoidal Rule for Computing Supersingular Integral on a Circle".JOURNAL OF SCIENTIFIC COMPUTING 66.2(2016):740-760. |
条目包含的文件 | 条目无相关文件。 |
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。
修改评论