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Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Maxwell’s Equations
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SYSNO ASEP 0347677 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Maxwell’s Equations Author(s) Šolín, Pavel (UT-L) RID
Dubcová, Lenka (UT-L)
Doležel, Ivo (UT-L) RIDSource Title Advances in Applied Mathematics and Mechanics - ISSN 2070-0733
Roč. 2, č. 4 (2010), s. 518-532Number of pages 15 s. Language eng - English Country CN - China Keywords hp-FEM ; arbitrary-level hanging nodes ; irregular meshes Subject RIV JA - Electronics ; Optoelectronics, Electrical Engineering CEZ AV0Z20570509 - UE-C, UT-L (2005-2011) UT WOS 000286402400007 DOI 10.4208/aamm.10-m1012 Annotation 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. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2011
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