WIT Press


Incremental Improvements To The Telles Third Degree Polynomial Transformation For The Evaluation Of Nearly Singular Boundary Integrals

Price

Free (open access)

Paper DOI

10.2495/BT990441

Volume

23

Pages

15

Published

1999

Size

1,109 kb

Author(s)

B. Baltz, A. A. Mammoli and M.S. Ingber

Abstract

Telles* '*, in a series of papers, developed a third-degree polynomial transfor- mation which greatly improved the accuracy of weakly-singular and nearly- singular integral evaluation for a variety of common boundary integral kernel functions. The basic idea of the transformation was that the Jacobian of the transformation would "cancel out" in a sense the singularity or near singu- larity in the kernel function. The net effect was that the Gauss points were clustered within the element close to the singular or nearly-singular point. Through a least-squares error analysis, Telles determined an optimum small value for t

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