Arbitrary-level hanging nodes and automatic adaptivity in the hp-FEM

Pavel Šolín, Jakub Červený and Ivo Doležel

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 77, issue 1, 117-132

Abstract: In this paper we present a new automatic adaptivity algorithm for the hp-FEM which is based on arbitrary-level hanging nodes and local element projections. The method is very simple to implement compared to other existing hp-adaptive strategies, while its performance is comparable or superior. This is demonstrated on several numerical examples which include the L-shape domain problem, a problem with internal layer, and the Girkmann problem of linear elasticity. With appropriate simplifications, the proposed technique can be applied to standard lower-order and spectral finite element methods.

Keywords: 35B50; 65N60; Constrained approximation; Hanging nodes; hp-FEM; Automatic hp-adaptivity (search for similar items in EconPapers)
Date: 2008
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:77:y:2008:i:1:p:117-132

DOI: 10.1016/j.matcom.2007.02.011

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