Using Compactly Supported Radial Basis Functions To Solve Partial Differential Equations
Price
Free (open access)
Transaction
Volume
23
Pages
14
Published
1999
Size
1,356 kb
Paper DOI
10.2495/BT990291
Copyright
WIT Press
Author(s)
Robert Schaback and Holger Wendland
Abstract
When applied to solving partial differential equations by either Rayleigh- Ritz or collocation techniques, compactly supported radial basis functions may replace other meshless tools like multiquadrics. They generate sparse and well-conditioned matrices, and we give a survey over the current the- oretical results known in this area, as far as they seem to be relevant for boundary element techniques. 1 Introduction As special instances of meshless methods [1], applications of radial basis functions (RBF) have gained quite some importance over the past years. They have been successfully applied to a large variety of problems [1-7, 17- 21, 23-28, 32-34, 39, 45, 55,
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