About: Global superconvergence and a posteriori error estimators of the finite element method for a quasi-linear elliptic boundary value problem of nonmonotone type

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About: Global superconvergence and a posteriori error estimators of the finite element method for a quasi-linear elliptic boundary value problem of nonmonotone type Goto Sponge Distinct Permalink

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
Description	V článku se zabýváme metodou konečných prvků pro řešení nelineární eliptické parciální diferenciální rovnice s homogenními Dirichletovými okrajovými podmínkami. Pro konečné prvky stupně K v každé proměnné dokazujeme globální superkonvergenci řádu O(hk+1) v H1-normě a O (hk+2) v L2-normě pro dostatečně hladké řešení. (cs) In this paper we are concerned with finite element approximations to a nonlinear elliptic partial differential equation with homogeneous Dirichlet boundary conditions. For finite elements of degree k..1 in each variable, by means of an interpolation postprocessing technique, we obtain the global superconvergence of O(hk+1) in the H1-norm and O(hk+2) in the L2-norm provided the weak solution is sufficiently smooth. In this paper we are concerned with finite element approximations to a nonlinear elliptic partial differential equation with homogeneous Dirichlet boundary conditions. For finite elements of degree k..1 in each variable, by means of an interpolation postprocessing technique, we obtain the global superconvergence of O(hk+1) in the H1-norm and O(hk+2) in the L2-norm provided the weak solution is sufficiently smooth. (en)
Title	Global superconvergence and a posteriori error estimators of the finite element method for a quasi-linear elliptic boundary value problem of nonmonotone type Globální superkonvergence a aposteriorní odhady chyby metody konečných prvků pro kvazilineární eleptickou okrajovou úlohu nemonotónního typu (cs) Global superconvergence and a posteriori error estimators of the finite element method for a quasi-linear elliptic boundary value problem of nonmonotone type (en)
skos:prefLabel	Global superconvergence and a posteriori error estimators of the finite element method for a quasi-linear elliptic boundary value problem of nonmonotone type Globální superkonvergence a aposteriorní odhady chyby metody konečných prvků pro kvazilineární eleptickou okrajovou úlohu nemonotónního typu (cs) Global superconvergence and a posteriori error estimators of the finite element method for a quasi-linear elliptic boundary value problem of nonmonotone type (en)
skos:notation	RIV/67985840:_____/04:00021528!RIV06-AV0-67985840
http://linked.open.../vavai/riv/strany	1729;1744
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA1019201), Z(AV0Z1019905)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2006
http://linked.open...aciTvurceVysledku	Křížek, Michal
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	565604
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/04:00021528
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	nonlinear boundary problem; finite elements; supercloseness (en)
http://linked.open.../riv/klicoveSlovo	nonlinear boundary problem supercloseness finite elements
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[C9D258B23BC8]
http://linked.open...i/riv/nazevZdroje	SIAM Journal on Numerical Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	5 (xsd:int)
http://linked.open...vavai/riv/projekt	The finite element method for three-dimensional problems
http://linked.open...UplatneniVysledku	2004
http://linked.open...v/svazekPeriodika	42
http://linked.open...iv/tvurceVysledku	Křížek, Michal Liu, L. Zhang, S. Liu, T. Lin, T.
http://linked.open...n/vavai/riv/zamer	Complex development of all branches of mathematics with regard to the needs of physics and technology
issn	0036-1429
number of pages	16 (xsd:int)

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