Stabilized and Block Approximate Inverse Preconditioners for Problems in Solid and Structural Mechanics

0404925 - UIVT-O 20030052 RIV NL eng J - Journal Article
Benzi, M. - Kouhia, R. - Tůma, Miroslav
Stabilized and Block Approximate Inverse Preconditioners for Problems in Solid and Structural Mechanics.
Computer Methods in Applied Mechanics and Engineering. Roč. 190, - (2001), s. 6533-6554. ISSN 0045-7825. E-ISSN 1879-2138
R&D Projects: GA AV ČR IAA2030801; GA ČR GA201/00/0080
Institutional research plan: AV0Z1030915
Keywords : preconditioning * conjugate gradient * factorized sparse approximate inverse * block algorithms * finite elements * shells
Subject RIV: BA - General Mathematics
Impact factor: 0.913, year: 2001

The solution of linear systems arising in the finite element analysis of shells and solids by the preconditioned conjugate gradient method is considered. Stabilized and block versions of the AINV factorized approximate inverse preconditioner are presented and tested on a variety of difficult problems. Comparisons with other preconditioning methods are also included.
Permanent Link: http://hdl.handle.net/11104/0125145