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Interdisciplinary Mathematical & Statistical Techniques (Shanghai 2007)
May 20-23, 2007
University of Science and Technology of China
Hefei, Anhui, P.R.China

Organizers
Bin Wang, Shuguang Zhang and Satya Mishra

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Wavelet Collocation Solution to Boundary Integral Equation on Polygonal Domain
by
Michael Cheng
Arts and Sciences, Albany College of Pharmacy, Union University, Albany, NY, USA
Coauthors: Tzu-chu Lin Department of Mathematical Sciences University of Wisconsin-Milwaukee

QTRgroupWe solve the boundary integral equation on an open wedge using multiwavelet based collocation methods. When the solution to the BIE possess singular derivatives at the corner, we regain the optimal convergent rate O(hm)  and obtain a sparse stiffness matrix by introducing a parameter to the original BIE and by using wavelet as basis. Numerical examples on how the convergent rate varies with the different parameter values and with different levels of splitting for the BIE on an open wedge are given. The sparse pattern of the stiffness matrices are observed and there are only at most O(n1+[1/(2(m+1))]logn) significant entries for matrices results from the collocation method.

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Date received: January 27, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cata-51.