Počet záznamů: 1

On global and local mesh refinements by a generalized conforming bisection algorithm

  1. 1.
    0346707 - MU-W 2011 RIV NL eng J - Článek v odborném periodiku
    Hannukainen, A. - Korotov, S. - Křížek, Michal
    On global and local mesh refinements by a generalized conforming bisection algorithm.
    Journal of Computational and Applied Mathematics. Roč. 235, č. 2 (2010), s. 419-436 ISSN 0377-0427
    Grant CEP: GA AV ČR(CZ) IAA100190803
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Zlámal's minimum angle condition * finite element method * nested triangulations * conforming longest-edge bisection algorithm * high aspect ratio elements
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.029, rok: 2010
    http://www.sciencedirect.com/science/article/pii/S0377042710003365

    We examine a generalized conforming bisection GCB-)algorithm which allows both global and local nested refinements of the triangulations without generating hanging nodes. It is based on the notion of a mesh density function which prescribes where and how much to refine the mesh. Some regularity properties of generated sequences of refined triangulations are proved. Several numerical tests demonstrate the efficiency of the proposed bisection algorithm. It is also shown how to modify the GCB-algorithm in order to generate anisotropic meshes with high aspect rations.
    Trvalý link: http://hdl.handle.net/11104/0187658
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