WIT Press


Regularizing Transformation Method For Evaluation Of Singular And Near-singular Integrals

Price

Free (open access)

Paper DOI

10.2495/BE980241

Volume

21

Pages

12

Published

1998

Size

678 kb

Author(s)

M. Kathirkamanayagam, J.H. Curran and S. Shah

Abstract

Boundary Elements 247 Regularizing transformation method for evaluation of singular and near-singular integrals M. Kathirkamanayagam, J.H. Curran and S. Shah Mf q/CW Eng , CWan'o, Ca/Wa Abstract Regularization based on the method of degenerate mapping is used to evaluate weakly singular and near-singular integrals over triangular domains which arise in the boundary element method. This mapping transforms an integral over a triangular domain to an integral over a square and thus reduces the order of the singularity by one. A procedure which converts the domain integral to non- singular line integrals is given. The proposed method has the advantage of using global coordinates and is easy to implement. 1 Introduction Homogeneous isotropic continuum mechanics problems form a major category of boundary element applications. A considerable amount of computational time in the boundary element method (BEM)

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