Oscillation in a posteriori error estimation

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dc.contributor.authorKreuzer, Christian
dc.contributor.authorVeeser, Andreas
dc.date.accessioned2019-03-18T11:08:57Z
dc.date.available2019-03-18T11:08:57Z
dc.date.issued2019-03
dc.description.abstractIn a posteriori error analysis, the relationship between error and estimator is usually spoiled by so-called oscillation terms, which cannot be bounded by the error. In order to remedy, we devise a new approach where the oscillation has the following two properties. First, it is dominated by the error, irrespective of mesh fineness and the regularity of data and the exact solution. Second, it captures in terms of data the part of the residual that, in general, cannot be quantified with finite information. The new twist in our approach is a locally stable projection onto discretized residuals.en
dc.identifier.issn2190-1767
dc.identifier.urihttp://hdl.handle.net/2003/37945
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-19930
dc.language.isoen
dc.relation.ispartofseriesErgebnisberichte des Instituts für Angewandte Mathematik;597de
dc.subject.ddc610
dc.subject.rswkFehlerabschätzungde
dc.subject.rswkA-posteriori-Abschätzungde
dc.titleOscillation in a posteriori error estimationen
dc.typeText
dc.type.publicationtypepreprint
dcterms.accessRightsopen access
eldorado.secondarypublicationfalse

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