Kansa-RBF algorithms for elliptic problems in regular polygonal domains
type: Item
instance of: scholarly article
title: Kansa-RBF algorithms for elliptic problems in regular polygonal domains
zbMATH Open document ID: 1405.65157
author: A. Karageorghis
author: Malgorzata A. Jankowska
author: C. S. Chen
published in: Numerical Algorithms
publication date: 2018-10-01T00:00:00Z
review text: The authors propose matrix decomposition algorithms for the solution of linear systems arising from Kansa radial basis function discretizations of elliptic boundary value problems in regular polygonal domains. These algorithms use the symmetry of the domains of the problems which lead to coefficient matrices possessing block circulant structures. The results are applied in particular to the Poisson equation, the inhomogeneous biharmonic equation, and the inhomogeneous Cauchy-Navier equations of elasticity. Some numerical examples demonstrating the applicability of the proposed algorithms are presented.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6945621
zbMATH Keywords: Kansa method
zbMATH Keywords: radial basis functions
zbMATH Keywords: Poisson equation
zbMATH Keywords: biharmonic equation
zbMATH Keywords: Cauchy-Navier equations
zbMATH Keywords: matrix decomposition algorithms
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s11075-017-0443-5
OpenAlex ID: W2775520126
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DOI: 10.1007/S11075-017-0443-5
description: scientific article; zbMATH DE number 6945621