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

0347677 - ÚT 2011 RIV CN eng J - Journal Article
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. E-ISSN 2075-1354
Institutional research plan: CEZ:AV0Z20570509
Keywords : hp-FEM * arbitrary-level hanging nodes * irregular meshes
Subject RIV: JA - Electronics ; Optoelectronics, Electrical Engineering
Impact factor: 0.510, year: 2010
http://www.global-sci.org/aamm/

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.
Permanent Link: http://hdl.handle.net/11104/0188406