Title

Kansa-RBF Algorithms for Elliptic Problems In Regular Polygonal Domains

Document Type

Article

Publication Date

12-6-2017

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

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.

Publication Title

Numerical Algorithms

Volume

79

First Page

399

Last Page

421

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