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2011-09-20Buch DOI: 10.18452/2800
Error Control in h- and hp-adaptive FEM for Signorini's Problem
dc.contributor.authorSchröder, Andreas
dc.date.accessioned2017-06-15T18:20:40Z
dc.date.available2017-06-15T18:20:40Z
dc.date.created2011-09-20
dc.date.issued2011-09-20
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3452
dc.description.abstractThis paper presents a posteriori finite element error estimates for Signorini’s problem. The discretization is based on a mixed variational formulation proposed by Haslinger et al. which is extended to higher-order finite elements. The a posteriori error control relies on estimating the discretization error of an auxiliary problem which is given as a variational equation. The estimation consists of error bounds for the discretization error of the auxiliary problem and some further terms which capture the geometrical error and the error in the complementary condition. The derived estimates are applied to h- and hp-adaptive refinement and enrichment strategies. Numerical results confirm the applicability of the theoretical findings. In particular, optimal algebraic and almost exponential convergence rates are obtained.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjecterror controleng
dc.subjecthp-FEMeng
dc.subjectcontact problemseng
dc.subject.ddc510 Mathematik
dc.titleError Control in h- and hp-adaptive FEM for Signorini's Problem
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-100192951
dc.identifier.doihttp://dx.doi.org/10.18452/2800
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages17
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2009
local.edoc.container-issue5
local.edoc.container-year2009
local.edoc.container-erstkatid2075199-0

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