Kansa-RBF algorithms for elliptic problems in regular polygonal domains

被引：0
作者：
Andreas Karageorghis
Malgorzata A. Jankowska
C. S. Chen
机构：
[1] University of Cyprus,Department of Mathematics and Statistics
[2] Poznan University of Technology,Institute of Applied Mechanics, Faculty of Mechanical Engineering and Management
[3] University of Southern Mississippi,Department of Mathematics
[4] University of Electronic Science and Technology of China,School of Mathematical Sciences
来源：
Numerical Algorithms | 2018年 / 79卷
关键词：
Kansa method; Radial basis functions; Poisson equation; Biharmonic equation; Cauchy-Navier equations; Matrix decomposition algorithms; Primary 65N35; Secondary 65N22;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose matrix decomposition algorithms for the efficient solution of the linear systems arising from Kansa radial basis function discretizations of elliptic boundary value problems in regular polygonal domains. These algorithms exploit the symmetry of the domains of the problems under consideration which lead to coefficient matrices possessing block circulant structures. In particular, we consider the Poisson equation, the inhomogeneous biharmonic equation, and the inhomogeneous Cauchy-Navier equations of elasticity. Numerical examples demonstrating the applicability of the proposed algorithms are presented.
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页码：399 / 421
页数：22
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