Počet záznamů: 1

Discrete maximum principle for parabolic problems solved by prismatic finite elements

  1. 1.
    0352123 - MU-W 2011 RIV NL eng J - Článek v odborném periodiku
    Vejchodský, Tomáš - Korotov, S. - Hannukainen, A.
    Discrete maximum principle for parabolic problems solved by prismatic finite elements.
    Mathematics and Computers in Simulation. Roč. 80, č. 8 (2010), s. 1758-1770 ISSN 0378-4754
    Grant CEP: GA ČR(CZ) GA102/07/0496; GA AV ČR IAA100760702
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: parabolic problem * maximum principle * prismatic finite elements * discrete maximum principle
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.812, rok: 2010
    http://www.sciencedirect.com/science/article/pii/S0378475409003176

    In this paper we analyze the discrete maximum principle (DMP) for a non-stationary diffusion reaction problem solved by means of prismatic finite elements and theta-method. We derive geometric conditions on the shape parameters of prismatic partitions and time-steps which a priori guarantee validity of the DMP. The presented numerical tests illustrate the sharpness of the obtained conditions.
    Trvalý link: http://hdl.handle.net/11104/0191707
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