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Volume 18, Issue 1
Wavelet Method for Boundary Integral Equations

Pin-Wen Zhang & Yu Zhang

J. Comp. Math., 18 (2000), pp. 25-42.

Published online: 2000-02

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  • 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.  

  • Keywords

Wavelet bases, Boundary integral equation, Preconditioning.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-25, author = {Zhang , Pin-Wen and Zhang , Yu}, title = {Wavelet Method for Boundary Integral Equations}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {1}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9020.html} }
TY - JOUR T1 - Wavelet Method for Boundary Integral Equations AU - Zhang , Pin-Wen AU - Zhang , Yu JO - Journal of Computational Mathematics VL - 1 SP - 25 EP - 42 PY - 2000 DA - 2000/02 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9020.html KW - Wavelet bases, Boundary integral equation, Preconditioning. AB -

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.  

Pin-Wen Zhang & Yu Zhang. (1970). Wavelet Method for Boundary Integral Equations. Journal of Computational Mathematics. 18 (1). 25-42. doi:
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