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An additive matrix preconditioning method with application for domain decomposition and two-level matrix partitionings

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    0353469 - ÚGN 2011 RIV DE eng J - Journal Article
    Axelsson, Owe
    An additive matrix preconditioning method with application for domain decomposition and two-level matrix partitionings.
    Lecture Notes in Computer Science. Roč. 5910, - (2010), s. 76-83. ISSN 0302-9743.
    [International Conference on Large-Scale Scientific Computations, LSSC 2009 /7./. Sozopol, 04.06.2009-08.06.2009]
    R&D Projects: GA AV ČR 1ET400300415
    Institutional research plan: CEZ:AV0Z30860518
    Keywords : additive matrix * condition number * domain decomposition
    Subject RIV: BA - General Mathematics
    www.springerlink.com http://arl-repository.lib.cas.cz/uloziste_av/UGN-S/cav_un_epca-0353469_01.pdf http://arl-repository.lib.cas.cz/uloziste_av/UGN-S/cav_un_epca-0353469_02.pdf

    Domain decomposition methods enable parallel computation during the iterative solution of partial differential equations of elliptic tupe. In order to limit the number of iterations one must then use an efficient preconditioner which can significantlz reduce the condition number of the given problem and, at the same time, is highly parallelizable. In this paper we describe and analyzse such a preconditioner, which is based on local subdomain inverse matrices and is applicable for various types of domain decomposition methods.
    Permanent Link: http://hdl.handle.net/11104/0192714

     
     
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