Počet záznamů: 1

A comparison of simplicial and block finite elements

  1. 1.
    0351143 - MU-W 2011 RIV DE eng C - Konferenční příspěvek (zahraniční konf.)
    Korotov, S. - Vejchodský, Tomáš
    A comparison of simplicial and block finite elements.
    Numerical Mathematics and Advanced Applications 2009. Berlin: Springer, 2010 - (Kreiss, G.; Lötstedt, P.; Malqvist, A.), s. 533-541. ISBN 978-3-642-11794-7.
    [ENUMATH 2009 /8./. Uppsala (SE), 29.06.2009-03.07.2009]
    Grant CEP: GA AV ČR IAA100760702; GA ČR(CZ) GA102/07/0496
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: finite element method * simples * blocks * discrete maximum principle * mesh refinement
    Kód oboru RIV: BA - Obecná matematika

    In this note we discuss and compare the performance of the finite element method (FEM) on two popular types of meshes - simplicial and block ones. A special emphasis is put on the validity of discrete maximum principles and on associated (geometric) mesh generation/refinement issues in higher dimensions. As a result, we would recommend to carefully reconsider the common belief that the simplicial finite elements are very convenient to describe complicated geometries (which appear in real-life problems), and also that the block finite elements, due to their simplicity, should be used if the geometry of the solution domain allows that.
    Trvalý link: http://hdl.handle.net/11104/0190955
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