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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
28/2004

Hierarchical LU decomposition based preconditioners for BEM

Mario Bebendorf

Abstract

The adaptive cross approximation method can be used to efficiently approximate stiffness matrices arising from boundary element applications by hierarchical matrices. In this article an approximative LU decomposition in the same format is presented which can be used for preconditioning the resulting coefficient matrices efficiently. If the LU decomposition is computed with high precision, it may even be used as a direct yet efficient solver.

Received:
May 11, 2004
Published:
May 11, 2004
MSC Codes:
65F05, 65F30, 65F50
Keywords:
hierarchical matrices, fast solvers, boundary elements

Related publications

inJournal
2005 Repository Open Access
Mario Bebendorf

Hierarchical LU decomposition-based preconditioners for BEM

In: Computing, 74 (2005) 3, pp. 225-247