Journal
APPLIED NUMERICAL MATHEMATICS
Volume 57, Issue 3, Pages 304-319Publisher
ELSEVIER
DOI: 10.1016/j.apnum.2006.03.028
Keywords
radial basis functions; boundary meshless methods; circulant matrices; elliptic boundary value problems
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We propose an efficient algorithm for the approximation of functions and their derivatives using radial basis functions (RBFs). The interpolation points are placed on concentric circles and the resulting matrix has a block circulant structure. We exploit this circulant structure to develop an efficient algorithm for the solution of the resulting system using RBFs. As a result, extremely high accuracy in approximating the given function and its derivatives can be achieved. The given algorithin is also capable of solving large-scale problems with more than 100 000 interpolation points in two dimensions. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.
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