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Generating Gauss quadratures for Green's function 1/r: a randomized algorithm

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2 Author(s)
Pham, H.H. ; Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada ; Nathan, A.

We report a randomized scheme for generating Gauss quadratures for an exponential integral representation of the Green's function 1 /r. These Gauss quadratures form the basis of the exponential-expansion-based method, which has previously been developed for rapid and accurate evaluation of the potential field and its gradient in three dimensions. Given a desired degree of accuracy on the approximation of 1/r, the technique proposed here enables generation of exponential expansion with sizes as small as possible. It makes use of the standard Legendre-Gauss and Chebychev-Gauss quadratures, and does not require solving a large system of non-linear equations

Published in:

Electrical and Computer Engineering, 1998. IEEE Canadian Conference on  (Volume:2 )

Date of Conference:

24-28 May 1998