WIT Press


A Meshless Boundary Element Technique Based On Multi-level Iterated Helmholtz-type Interpolation

Price

Free (open access)

Paper DOI

10.2495/BE020111

Volume

32

Pages

10

Published

2002

Size

515 kb

Author(s)

C Gáspár

Abstract

A special scattered data interpolation technique is introduced. The interpolation problem is converted to a higher order auxiliary PDE, typically to an iterated Laplace or Helmholtz equation. To solve this PDE, robust multi-level methods are used which are based on a quadtree / octtree subdivision algorithm. Thus, the solution of large interpolalion equations are avoided. Using this interpolation method, meshless techniques are constructed which require a set of boundary points only, without any structure. Theoretical results as well as numerical examples are also presented.

Keywords