WIT Press


Extending The Complex Variable Boundary Element Method Of Three Dimensions

Price

Free (open access)

Paper DOI

10.2495/BT030111

Volume

34

Pages

10

Published

2003

Size

329 kb

Author(s)

T. V. Hromadka II, R. J. Whitley, & C.C. Yen

Abstract

Extending the complex variable boundary element method of three dimensions T.V. Hromadka 111, R.J. Whitleg & C.C. Yen3 1~e~artment.s of Mathematics, Environmental Studies, and Geologic Sciences, California State University, Calzfovnia, USA 2~rofissor, Department of Mathematics, University of California, California, USA. 3~uornadka 6 Associates, Costa Mesa, California, USA. Abstract The Complex Variable Boundary Element Method, or CVBEM, is extended to solve three (or higher) spatial dimensions. This new advance breaks down a baner that has limited the CVBEM to two dimensions. The new 3DCVBEM is easy to apply, and does not require spatial transformation to particular spatial domain shapes. The 3DCVBEM can be applied to arbitrary spatial shapes. In this paper, the mathematical underpinnings are remewed, and the associated numerical algorithm is considered. Application of the 3DCVBEM to 3D problem shape is considered for a Dirichlet problem. 1 Introduction The Complex Variable Boundary Element

Keywords