WIT Press


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

Price

Free (open access)

Volume

23

Pages

15

Published

1999

Size

1,109 kb

Paper DOI

10.2495/BT990441

Copyright

WIT Press

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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