dc.contributor.author
Forster, Ralf
dc.contributor.author
Kornhuber, Ralf
dc.date.accessioned
2018-06-08T08:00:18Z
dc.date.available
2014-07-16T08:19:56.268Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/19169
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-22835
dc.description.abstract
We consider stochastic elliptic variational inequalities of the second kind
involving a bilinear form with stochastic diffusion coefficient. We prove
existence and uniqueness of weak solutions, propose a stochastic Galerkin
approximation of an equivalent parametric reformulation, and show equivalence
to a related collocation method. Numerical experiments illustrate the
efficiency of our approach and suggest similar error estimates as for linear
elliptic problems.
de
dc.relation.ispartofseries
urn:nbn:de:kobv:188-fudocsseries000000000226-9
dc.rights.uri
http://www.fu-berlin.de/sites/refubium/rechtliches/Nutzungsbedingungen
dc.subject
stochastic variational inequality
dc.subject
Karhunen-Loeve expansion
dc.subject
polynomial chaos
dc.subject
finite elements
dc.subject
stochastic Galerkin method
dc.subject
stochastic collocation
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik
dc.title
A polynomial chaos approach to stochastic variational inequalities
refubium.affiliation
Mathematik und Informatik
de
refubium.affiliation.other
Institut für Mathematik
refubium.mycore.fudocsId
FUDOCS_document_000000020598
refubium.mycore.reportnumber
A /08/2010
refubium.series.issueNumber
Preprints, Serie A: Mathematik
refubium.series.name
Freie Universität Berlin, Fachbereich Mathematik und Informatik
refubium.series.reportNumber
A /08/2010
refubium.mycore.derivateId
FUDOCS_derivate_000000003706
dcterms.accessRights.openaire
open access