Extending The Complex Variable Boundary Element Method Of Three Dimensions
Price
Free (open access)
Transaction
Volume
34
Pages
10
Published
2003
Size
329 kb
Paper DOI
10.2495/BT030111
Copyright
WIT Press
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
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