About: Arbitrary-Level Hanging Nodes and Automatic Adaptivity in the hp-FEM

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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. 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. (en) V článku je popsán nový algoritmus adaptivity v hp-FEM, jenž je založen na visících uzlech libovolného řádu a lokální projekci elementů. Metodika je demonstrována na několika numerických příkladech a je prokázáno, že za určitých zjednodušení ji lze aplikovat v i případě metod konečných prvků nízkých řádů a metod spektrálních. (cs)
Title	Arbitrary-Level Hanging Nodes and Automatic Adaptivity in the hp-FEM Arbitrary-Level Hanging Nodes and Automatic Adaptivity in the hp-FEM (en) Visící uzly libovolného řádu a automatická adaptivita v hp-FEM (cs)
skos:prefLabel	Arbitrary-Level Hanging Nodes and Automatic Adaptivity in the hp-FEM Arbitrary-Level Hanging Nodes and Automatic Adaptivity in the hp-FEM (en) Visící uzly libovolného řádu a automatická adaptivita v hp-FEM (cs)
skos:notation	RIV/61388998:_____/08:00315056!RIV09-AV0-61388998
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA102/05/0629), P(GA102/07/0496), P(IAA100760702), Z(AV0Z20570509)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Červený, Jakub Doležel, Ivo Šolín, Pavel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav termomechaniky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	356908
http://linked.open...ai/riv/idVysledku	RIV/61388998:_____/08:00315056
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	constrained approximation; hanging nodes; hp-FEM (en)
http://linked.open.../riv/klicoveSlovo	hanging nodes hp-FEM constrained approximation
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[0F30FC0A8093]
http://linked.open...i/riv/nazevZdroje	Mathematics and Computers in Simulation
http://linked.open...in/vavai/riv/obor	JA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Advanced algorithms for solution of coupled problems in electromagnetism Methods of higher order of accuracy for solution of multi-physics coupled problems Higher-Order Methods in Electromagnetics and Related Coupled Problems
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	77
http://linked.open...iv/tvurceVysledku	Doležel, Ivo Šolín, Pavel Červený, Jakub
http://linked.open...ain/vavai/riv/wos	000253496400012
http://linked.open...n/vavai/riv/zamer	Interaction of Electromagnetic Fields and Dynamics of Controlled Energy Conversions in Electrical Engineering
issn	0378-4754
number of pages	16 (xsd:int)

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