A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1911 | |
dc.contributor.author | Eigel, Martin | |
dc.contributor.author | Gittelson, Claude Jeffrey | |
dc.contributor.author | Schwab, Christoph | |
dc.contributor.author | Zander, Elmar | |
dc.date.accessioned | 2016-03-24T17:37:14Z | |
dc.date.available | 2019-06-28T08:15:34Z | |
dc.date.issued | 2013 | |
dc.description.abstract | We analyze a-posteriori error estimation and adaptive refinement algorithms for stochastic Galerkin Finite Element methods for countably-parametric, elliptic boundary value problems. A residual error estimator which separates the effects of gpc-Galerkin discretization in parameter space and of the Finite Element discretization in physical space in energy norm is established. It is proved that the adaptive algorithm converges, and to this end we establish a contraction property satisfied by its iterates. It is shown that the sequences of triangulations which are produced by the algorithm in the FE discretization of the active gpc coefficients are asymptotically optimal. Numerical experiments illustrate the theoretical results. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/1791 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3030 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
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 | eng |
dc.subject.other | Generalized polynomial chaos | eng |
dc.subject.other | adaptive Finite Element Methods | eng |
dc.subject.other | contraction property | eng |
dc.subject.other | residual a-posteriori error estimation | eng |
dc.subject.other | uncertainty quantification | eng |
dc.title | A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- 786352531.pdf
- Size:
- 755.33 KB
- Format:
- Adobe Portable Document Format
- Description: