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2023-08-09Zeitschriftenartikel DOI: 10.18452/28520
Stabilization-free HHO a posteriori error control
dc.contributor.authorBertrand, Fleurianne
dc.contributor.authorCarstensen, Carsten
dc.contributor.authorGräßle, Benedikt
dc.contributor.authorTran, Ngoc Tien
dc.date.accessioned2024-04-17T14:38:31Z
dc.date.available2024-04-17T14:38:31Z
dc.date.issued2023-08-09none
dc.identifier.urihttp://edoc.hu-berlin.de/18452/29151
dc.description.abstractThe known a posteriori error analysis of hybrid high-order methods treats the stabilization contribution as part of the error and as part of the error estimator for an efficient and reliable error control. This paper circumvents the stabilization contribution on simplicial meshes and arrives at a stabilization-free error analysis with an explicit residual-based a posteriori error estimator for adaptive mesh-refining as well as an equilibrium-based guaranteed upper error bound (GUB). Numerical evidence in a Poisson model problem supports that the GUB leads to realistic upper bounds for the displacement error in the piecewise energy norm. The adaptive mesh-refining algorithm associated to the explicit residual-based a posteriori error estimator recovers the optimal convergence rates in computational benchmarks.eng
dc.language.isoengnone
dc.publisherHumboldt-Universität zu Berlin
dc.rights(CC BY 4.0) Attribution 4.0 Internationalger
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.ddc510 Mathematiknone
dc.titleStabilization-free HHO a posteriori error controlnone
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-110-18452/29151-5
dc.identifier.doihttp://dx.doi.org/10.18452/28520
dc.type.versionpublishedVersionnone
local.edoc.pages40none
local.edoc.type-nameZeitschriftenartikel
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
dc.description.versionPeer Reviewednone
dc.identifier.eissn0945-3245
dcterms.bibliographicCitation.doi10.1007/s00211-023-01366-8
dcterms.bibliographicCitation.journaltitleNumerische Mathematiknone
dcterms.bibliographicCitation.volume154none
dcterms.bibliographicCitation.issue3–4none
dcterms.bibliographicCitation.originalpublishernameSpringernone
dcterms.bibliographicCitation.originalpublisherplaceHeidelbergnone
dcterms.bibliographicCitation.pagestart369none
dcterms.bibliographicCitation.pageend408none
bua.departmentMathematisch-Naturwissenschaftliche Fakultätnone

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