Original title: A Comparison of Preconditioning Methods for Saddle Point Problems with an Application to Porous Media Flow Problems
Authors: Axelsson, Owe ; Blaheta, Radim ; Hasal, Martin
Document type: Papers
Conference/Event: International Conference on High Performance Computing in Science and Engineering (HPCSE) /2./, Soláň (CZ), 20150525
Year: 2016
Language: eng
Abstract: The paper overviews and compares some block preconditioners for the solution of saddle point systems, especially systems arising from the Brinkman model of porous media flow. The considered preconditioners involve different Schur complements as inverse free Schur complement in HSS (Hermitian - Skew Hermitian Splitting preconditioner), Schur complement to the velocity matrix and finally Schur complement to a regularization block in the augmented matrix preconditioner. The inverses appearing in most of the considered Schur complements are approximated by simple sparse approximation techniques as element-by-element and Frobenius norm minimization approaches. A special interest is devoted to problems involving various Darcy, Stokes and Brinkman flow regions, the efficiency of preconditioners in this case is demonstrated by some numerical experiments.
Keywords: high performance computing; linear-systems; schur complements
Project no.: ED1.1.00/02.0070
Funding provider: GA MŠk
Host item entry: High performance computing in science and engineering - HPCSE 2015, ISBN 978-3-319-40361-8; 978-3-319-40360-1, ISSN 0302-9743
Note: Související webová stránka: http://link.springer.com/chapter/10.1007%2F978-3-319-40361-8_5

Institution: Institute of Geonics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0266018

Permalink: http://www.nusl.cz/ntk/nusl-261728


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