About: On optimal node and polynomial degree distribution in one-dimensional hp-FEM

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://link.springer.com/content/pdf/10.1007%2Fs00607-012-0232-x
Description	We are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total number of degrees of freedom. The motivation for this work is to obtain a truly optimal higher-order finite element mesh that can be used to compare the quality of automatic adaptive algorithms. Minimized is the approximation error in a global norm. Optimization variables include the number of elements, positions of nodes, and polynomial degrees of elements. Optimization methods and software that we use are described, and numerical results are presented.We are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total number of degrees of freedom. The motivation for this work is to obtain a truly optimal higher-order finite element mesh that can be used to compare the quality of automatic adaptive algorithms. Minimized is the approximation error in a global norm. Optimization variables include the number of elements, positions of nodes, and polynomial degrees of elements. Optimization methods and software that we use are described, and numerical results are presented. We are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total number of degrees of freedom. The motivation for this work is to obtain a truly optimal higher-order finite element mesh that can be used to compare the quality of automatic adaptive algorithms. Minimized is the approximation error in a global norm. Optimization variables include the number of elements, positions of nodes, and polynomial degrees of elements. Optimization methods and software that we use are described, and numerical results are presented.We are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total number of degrees of freedom. The motivation for this work is to obtain a truly optimal higher-order finite element mesh that can be used to compare the quality of automatic adaptive algorithms. Minimized is the approximation error in a global norm. Optimization variables include the number of elements, positions of nodes, and polynomial degrees of elements. Optimization methods and software that we use are described, and numerical results are presented. (en)
Title	On optimal node and polynomial degree distribution in one-dimensional hp-FEM On optimal node and polynomial degree distribution in one-dimensional hp-FEM (en)
skos:prefLabel	On optimal node and polynomial degree distribution in one-dimensional hp-FEM On optimal node and polynomial degree distribution in one-dimensional hp-FEM (en)
skos:notation	RIV/68407700:21110/13:00204186!RIV15-GA0-21110___
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP105/10/1682)
http://linked.open...iv/cisloPeriodika	1 Suppl.
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Chleboun, Jan
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	České vysoké učení technické v Praze / Fakulta stavební
http://linked.open...dnocenehoVysledku	93766
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/13:00204186
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	hp-FEM; optimal mesh; optimal polynomial degree; boundary value problem (en)
http://linked.open.../riv/klicoveSlovo	boundary value problem hp-FEM optimal mesh optimal polynomial degree
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[9343076874C6]
http://linked.open...i/riv/nazevZdroje	Computing
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Solution of Large Hydro-Thermo-Mechanical Problems Using Adaptive hp-FEM
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	95
http://linked.open...iv/tvurceVysledku	Chleboun, Jan Solin, P.
http://linked.open...ain/vavai/riv/wos	000338630100007
issn	0010-485X
number of pages	14 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s00607-012-0232-x
http://localhost/t...ganizacniJednotka	21110

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