A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading

科研成果详情

发表状态	已发表Published
题名	A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading
作者	Chen, Qiyuan 1; Tang, Tao2 ; Teng, Zhenhuan 3
发表日期	2004
发表期刊	Journal of Computational Mathematics
ISSN/eISSN	0254-9409
卷号	22 期号:2 页码:287-298
摘要	The aim of this paper is to develop a fast numerical method for two-dimensional boundary integral equations of the first kind with logarithm kernels when the boundary of the domain is smooth and closed. In this case, the use of the conventional boundary element methods gives linear systems with dense matrix. In this paper, we demonstrate that the dense matrix can be replaced by a sparse one if appropriate graded meshes are used in the quadrature rules. It will be demonstrated that this technique can increase the numerical efficiency significantly.
关键词	Fast numerical method Integral equations Mesh grading
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000220381000013
Scopus入藏号	2-s2.0-3042789506
引用统计	被引频次：10[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/2047
专题	个人在本单位外知识产出
通讯作者	Chen, Qiyuan
作者单位	1.Dept. of Applied Mathematics, Beijing Univ. of Technology, Beijing 100081, China 2.Dept. of Mathematics, Hong Kong Baptist Univ., Hong Kong, Hong Kong 3.LMAM and Sch. of Math. Sci., Peking Univ., Beijing 100871, China
推荐引用方式 GB/T 7714	Chen, Qiyuan,Tang, Tao,Teng, Zhenhuan. A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading[J]. Journal of Computational Mathematics, 2004, 22(2): 287-298.
APA	Chen, Qiyuan, Tang, Tao, & Teng, Zhenhuan. (2004). A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading. Journal of Computational Mathematics, 22(2), 287-298.
MLA	Chen, Qiyuan,et al."A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading". Journal of Computational Mathematics 22.2(2004): 287-298.