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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
7/2004

Approximate Inverse Preconditioning of FE Systems for Elliptic Operators with non-smooth Coefficients

Mario Bebendorf

Abstract

A new class of approximate inverse preconditioners for large finite element stiffness matrices arising from elliptic partial differential operators is introduced which guarantees a bounded number of iterations of the conjugate gradients method. This preconditioner can be generated, stored and multiplied by a vector with almost linear complexity. Since the proposed preconditioner is robust with respect to varying coefficients and does not need a grid hierarchy it may be used as a black-box method.

Received:
Feb 26, 2004
Published:
Feb 26, 2004
MSC Codes:
65F05, 65F50, 65N30

Related publications

inJournal
2006 Repository Open Access
Mario Bebendorf

Approximate inverse preconditioning of FE systems for elliptic operators with non-smooth coefficients

In: SIAM journal on matrix analysis and applications, 27 (2006) 4, pp. 909-929