Wavelet Method for Boundary Integral Equations

Wavelet Method for Boundary Integral Equations

Year:    2000

Author:    Pin-Wen Zhang, Yu Zhang

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 1 : pp. 25–42

Abstract

In this paper, we show how to use wavelet to discretize the boundary integral equations which are both singular and ill-conditioned. By using an explicit diagonal preconditioning, the condition number of the corresponding matrix is bounded by a constant, while the sparse structure speeds up the iterative solving process. Using an iterative method, one thus obtains a fast numerical algorithm to solve the boundary integral equations.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JCM-9020

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 1 : pp. 25–42

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Wavelet bases Boundary integral equation Preconditioning.

Author Details

Pin-Wen Zhang

Yu Zhang