Incremental Improvements To The Telles Third Degree Polynomial Transformation For The Evaluation Of Nearly Singular Boundary Integrals
Price
Free (open access)
Transaction
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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