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Wavelet-based preconditioners for boundary integral equations

✍ Scribed by Thanh Tran; Ernst P. Stephan; Stefan Zaprianov

Book ID
110380643
Publisher
Springer
Year
1998
Tongue
English
Weight
133 KB
Volume
9
Category
Article
ISSN
1019-7168

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πŸ“œ SIMILAR VOLUMES

WAVELET METHODS FOR BOUNDARY INTEGRAL EQ
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✍ REN, J. G. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 155 KB

A wavelet boundary element method (WBEM) for boundary integral equations is presented. A discrete approximating integral equation is derived by expanding the function into a wavelet series. Using a circulant matrix method, the coecient matrix is obtained from the values of the kernel functions on th

Circulant preconditioners for ill-condit
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✍ Raymond H. Chan; Hai-Wei Sun; Wing-Fai Ng πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

In this paper, we consider solving potential equations by the boundary integral equation approach. The equations so derived are Fredholm integral equations of the ΓΏrst kind and are known to be ill-conditioned. Their discretized matrices are dense and have condition numbers growing like O(n) where n