On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2753 | |
dc.contributor.author | Eigel, Martin | |
dc.contributor.author | Ernst, Oliver | |
dc.contributor.author | Sprungk, Björn | |
dc.contributor.author | Tamellini, Lorenzo | |
dc.date.accessioned | 2022-06-30T13:14:19Z | |
dc.date.available | 2022-06-30T13:14:19Z | |
dc.date.issued | 2020 | |
dc.description.abstract | Convergence of an adaptive collocation method for the stationary parametric diffusion equation with finite-dimensional affine coefficient is shown. The adaptive algorithm relies on a recently introduced residual-based reliable a posteriori error estimator. For the convergence proof, a strategy recently used for a stochastic Galerkin method with an hierarchical error estimator is transferred to the collocation setting. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9403 | |
dc.identifier.uri | https://doi.org/10.34657/8441 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2753 | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This 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.license | Dieses 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.subject.ddc | 510 | |
dc.subject.other | Random PDEs | eng |
dc.subject.other | parametric PDEs | eng |
dc.subject.other | a posteriori adaptivity | eng |
dc.subject.other | residual error estimator | eng |
dc.subject.other | convergence | eng |
dc.subject.other | affine diffusion coefficient | eng |
dc.subject.other | sparse grids | eng |
dc.subject.other | stochastic collocation | eng |
dc.title | On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 20 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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