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Circulant Wavelet Preconditioners for Solving Elliptic Differential Equations and Boundary Integral Equations

✍ Scribed by D. Rostami Varnos Fadrani

Book ID
110427018
Publisher
Springer
Year
2003
Tongue
English
Weight
151 KB
Volume
5
Category
Article
ISSN
1572-9206

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πŸ“œ SIMILAR VOLUMES

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We consider the solution of differential equations with multidelays by using boundary value methods (BVMs). These methods require the solution of some nonsymmetric, large and sparse linear systems. The GMRES method with the Strang-type block-cireulant preconditioner is proposed to solve these linear

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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

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