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Preconditioning of wavelet BEM by the incomplete Cholesky factorization
Journal
Computing and visualization in science
Volume
15
Number
6
Pages / Article-Number
319–329
Keywords
boundary element method, wavelets, preconditioning, incomplete Cholesky factorization
Abstract
The present paper is dedicated to the preconditioning of
boundary element matrices which are given in wavelet
coordinates. We investigate the incomplete Cholesky
factorization for a pattern which includes also the coefficients of all
off-diagonal bands associated with the level-level-interactions.
The pattern is chosen in such a way that the incomplete
Cholesky factorization is computable in log-linear complexity.
Numerical experiments are performed to quantify the effects
of the proposed preconditioning.
The present paper is dedicated to the preconditioning of boundary element matrices which are given in wavelet coordinates. We investigate the incomplete Cholesky factorization for a pattern which includes also the coefficients of all off-diagonal bands associated with the level-level-interactions. The pattern is chosen in such a way that the incomplete Cholesky factorization is computable in log-linear complexity. Numerical experiments are performed to quantify the effects of the proposed preconditioning.
