About: On Exact Results in the Finite Element Method.

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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)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We prove that the finite element method for one-dimensional problems yields no discretization error at nodal points provided the shape functions are appropriately chosen. Then we consider a biharmonic problem with mixed boundary conditions and the weak solution u. We show that the Galerkin approximation of u based on the so-called biharmonic finite elements is independent of the values of u in the interior of any subelement. We prove that the finite element method for one-dimensional problems yields no discretization error at nodal points provided the shape functions are appropriately chosen. Then we consider a biharmonic problem with mixed boundary conditions and the weak solution u. We show that the Galerkin approximation of u based on the so-called biharmonic finite elements is independent of the values of u in the interior of any subelement. (en)
Title	On Exact Results in the Finite Element Method. On Exact Results in the Finite Element Method. (en)
skos:prefLabel	On Exact Results in the Finite Element Method. On Exact Results in the Finite Element Method. (en)
skos:notation	RIV/67985840:_____/01:05025126!RIV/2003/AV0/A05003/N
http://linked.open.../vavai/riv/strany	467;478
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/01/1200), P(ME 148), Z(AV0Z1019905)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2003
http://linked.open...aciTvurceVysledku	Křížek, Michal Hlaváček, Ivan
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	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	689869
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/01:05025126
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	boundary value elliptic problems%finite element method%generalized splines (en)
http://linked.open.../riv/klicoveSlovo	boundary value elliptic problems%finite element method%generalized splines
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[7BE5CE615B40]
http://linked.open...i/riv/nazevZdroje	Applications of Mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...vavai/riv/projekt	Mathematical and numerical modelling of nonlinear physical fields http://linked.opendata.cz/resource/domain/vavai/projekt/ME%20148
http://linked.open...UplatneniVysledku	2001
http://linked.open...v/svazekPeriodika	46
http://linked.open...iv/tvurceVysledku	Křížek, Michal Hlaváček, Ivan
http://linked.open...n/vavai/riv/zamer	Complex development of all branches of mathematics with regard to the needs of physics and technology
issn	0862-7940
number of pages	12 (xsd:int)

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