Harbrecht, Helmut. (2012) Preconditioning of wavelet BEM by the incomplete Cholesky factorization. Computing and visualization in science, Vol. 15, H. 6 , S. 319-329.
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Official URL: http://edoc.unibas.ch/dok/A6271911
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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.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht) |
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| UniBasel Contributors: | Harbrecht, Helmut |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | Springer |
| ISSN: | 1432-9360 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Language: | English |
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| Identification Number: | |
| edoc DOI: | |
| Last Modified: | 31 Dec 2015 10:56 |
| Deposited On: | 18 Jul 2014 09:10 |
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