Počet záznamů: 1

Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Maxwell’s Equations

  1. 1.
    0347677 - UT-L 2011 RIV CN eng J - Článek v odborném periodiku
    Šolín, Pavel - Dubcová, Lenka - Doležel, Ivo
    Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Maxwell’s Equations.
    Advances in Applied Mathematics and Mechanics. Roč. 2, č. 4 (2010), s. 518-532 ISSN 2070-0733
    Výzkumný záměr: CEZ:AV0Z20570509
    Klíčová slova: hp-FEM * arbitrary-level hanging nodes * irregular meshes
    Kód oboru RIV: JA - Elektronika a optoelektronika, elektrotechnika
    Impakt faktor: 0.510, rok: 2010

    Adaptive higher-order finite element methods (hpFEM) are well known for their potential of exceptionally fast (exponential) convergence. However, most hp-FEM codes remain in an academic setting due to an extreme algorithmic complexity of hp-adaptivity algorithms. This paper aims at simplifying hp-adaptivity for H(curl)-conforming approximations by presenting a novel technique of arbitrary-level hanging nodes. The technique is described and it is demonstrated numerically that it makes adaptive hp-FEM more efficient compared to hp-FEM on regular meshes and meshes with one-level hanging nodes.
    Trvalý link: http://hdl.handle.net/11104/0188406