http://dx.doi.org/10.1016/j.enganabound.2005.07.003">
 

Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Improved numerical solver for Kansa's method based on affine space decomposition

Language

English

Abstract

Radial Basis functions (RBFs) have been successfully developed as a truly mesh-free method to find the numerical solutions of partial differential equations (PDEs). In particular, the asymmetric RBF collocation method (Kansa's method) is one of the most frequently used methods due to its ease of implementation. To achieve high accuracy, the resultant system of RBF-PDE problem usually becomes badly conditioned. We propose in this paper an improved solution method based on an affine space decomposition that decouples the influence between the interior and boundary collocations. Numerical examples are given to compare the proposed method with several direct methods. © 2005 Elsevier Ltd. All rights reserved.

Keywords

Collocation, Partial differential equation, Radial basis function

Publication Date

2005

Source Publication Title

Engineering Analysis with Boundary Elements

Volume

29

Issue

12

Start Page

1077

End Page

1085

Publisher

Elsevier

ISSN (print)

09557997

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