Please use this identifier to cite or link to this item: https://oar.tib.eu/jspui/handle/123456789/1613
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dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.contributor.authorEigel, Martin
dc.contributor.authorMüller, Rüdiger
dc.date.accessioned2016-12-13T10:46:54Z
dc.date.available2019-06-28T08:01:54Z
dc.date.issued2015
dc.identifier.urihttps://oar.tib.eu/jspui/handle/123456789/1613
dc.identifier.urihttp://dx.doi.org/10.34657/1864-
dc.description.abstractWe consider a system of two coupled elliptic equations, one defined on a bulk domain and the other one on the boundary surface. Problems of this kind of problem are relevant for applications in engineering, chemistry and in biology like e.g. biological signal transduction. For the a posteriori error control of the coupled system, a residual error estimator is derived which takes into account the approximation errors due to the finite element discretisation in space as well as the polyhedral approximation of the surface. An adaptive refinement algorithm controls the overall error. Numerical experiments illustrate the performance of the a posteriori error estimator and the proposed adaptive algorithm with several benchmark examples.
dc.formatapplication/pdf
dc.languageeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2196, ISSN 2198-5855-
dc.subjectFinite element method
dc.subjecta posteriori
dc.subjecterror estimator
dc.subjectadaptive algorithm
dc.subjectsurface finite elements
dc.subjectbulk-surface elliptic equations
dc.subject.ddc510
dc.titleA posteriori error control for stationary coupled bulk-surface equations
dc.typereport-
dc.typeText-
dc.description.versionpublishedVersioneng
local.accessRightsopenAccess-
wgl.contributorWIASger
wgl.subjectMathematikger
wgl.typeReport / Forschungsbericht / Arbeitspapierger
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik-
local.identifier.doihttp://dx.doi.org/10.34657/1864-
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