WIT Press


Using Compactly Supported Radial Basis Functions To Solve Partial Differential Equations

Price

Free (open access)

Paper DOI

10.2495/BT990291

Volume

23

Pages

14

Published

1999

Size

1,356 kb

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,

Keywords