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Sparse direct solver for large finite element problems based on the minimum degree algorithm

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    SYSNO ASEP0479231
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleSparse direct solver for large finite element problems based on the minimum degree algorithm
    Author(s) Pařík, Petr (UT-L) RID
    Plešek, Jiří (UT-L) RID, ORCID, SAI
    Number of authors2
    Source TitleAdvances in Engineering Software. - : Elsevier - ISSN 0965-9978
    Roč. 113, November (2017), s. 2-6
    Number of pages5 s.
    Publication formPrint - P
    Languageeng - English
    CountryNL - Netherlands
    Keywordssparse direct solution ; finite element method ; large sparse Linear systems
    Subject RIVJR - Other Machinery
    OECD categoryMechanical engineering
    R&D ProjectsGA15-20666S GA ČR - Czech Science Foundation (CSF)
    EF15_003/0000493 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
    Institutional supportUT-L - RVO:61388998
    UT WOS000413675600002
    EID SCOPUS85015948512
    DOI10.1016/j.advengsoft.2017.03.004
    AnnotationA sparse direct solver for large problems from solid continuum mechanics based on the minimum degree algorithm is proposed and tested. The solver is designed to take advantage of the properties of the finite element method, particularly the structure of the finite element mesh. For the minimization of the fill-in in the matrix factors a modification of the approximate minimum degree ordering algorithm of Amestoy, Davis and Duffis utilized. The employed sparse matrix storage format and the algorithms for each of the solver phases are also described. The results of numerical tests of the solver on large real-world finite element problems are presented and its performance is compared to a frontal solver and the PARDISO sparse direct solver.
    WorkplaceInstitute of Thermomechanics
    ContactMarie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823
    Year of Publishing2018
    Electronic addresshttps://www.sciencedirect.com/science/article/pii/S0965997817302582
Number of the records: 1  

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