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题名Spline galerkin methods for the sherman-lauricella equation on contours with corners
作者
发表日期2015
发表期刊SIAM Journal on Numerical Analysis
ISSN/eISSN0036-1429
卷号53期号:6页码:2752-2770
摘要

Spline Galerkin approximation methods for the Sherman-Lauricella integral equation on simple closed piecewise smooth contours are studied, and necessary and sufficient conditions for their stability are obtained. It is shown that the method under consideration is stable if and only if certain operators associated with the corner points of the contour are invertible. Numerical experiments demonstrate a good convergence of the spline Galerkin methods and validate theoretical results. Moreover, it is shown that if all corners of the contour have opening angles located in interval (0.1, 1.9), then the corresponding Galerkin method based on splines of order 0, 1, or 2 is always stable. These results are in strong contrast with the behavior of the Nystrom method, which has a number of instability angles in the interval mentioned. © 2015 Society for Industrial and Applied Mathematics.

关键词Critical angles Sherman-Lauricella equation Spline Galerkin method Stability
DOI10.1137/140997968
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收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000367019800013
引用统计
被引频次:2[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/1790
专题个人在本单位外知识产出
通讯作者Didenko, Victor D.
作者单位
1.Faculty of Science, Universiti Brunei Darussalam, Bandar Seri Begawan, BE1410, Brunei Darussalam
2.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
3.Department of Mathematics, South University of Science and Technology, Shenzhen, Guangdong, 518055, China
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GB/T 7714
Didenko, Victor D.,Tang, Tao,Vu, Anh My. Spline galerkin methods for the sherman-lauricella equation on contours with corners[J]. SIAM Journal on Numerical Analysis, 2015, 53(6): 2752-2770.
APA Didenko, Victor D., Tang, Tao, & Vu, Anh My. (2015). Spline galerkin methods for the sherman-lauricella equation on contours with corners. SIAM Journal on Numerical Analysis, 53(6), 2752-2770.
MLA Didenko, Victor D.,et al."Spline galerkin methods for the sherman-lauricella equation on contours with corners". SIAM Journal on Numerical Analysis 53.6(2015): 2752-2770.
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