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dc.contributor.authorHarbrecht, Helmut
dc.contributor.authorPeters, Michael
dc.contributor.authorSiebenmorgen, Markus
dc.date.accessioned2017-06-05T08:35:47Z
dc.date.available2017-06-05T08:35:47Z
dc.date.issued2015-01-07
dc.identifier.urihttp://hdl.handle.net/10754/624060
dc.description.abstractWe apply multilevel quadrature methods for the moment computation of the solution of elliptic PDEs with lognormally distributed diffusion coefficients. The computation of the moments is a difficult task since they appear as high dimensional Bochner integrals over an unbounded domain. Each function evaluation corresponds to a deterministic elliptic boundary value problem which can be solved by finite elements on an appropriate level of refinement. The complexity is thus given by the number of quadrature points times the complexity for a single elliptic PDE solve. The multilevel idea is to reduce this complexity by combining quadrature methods with different accuracies with several spatial discretization levels in a sparse grid like fashion.
dc.titleMultilevel quadrature of elliptic PDEs with log-normal diffusion
dc.typePoster
dc.conference.dateJanuary 6-9, 2015
dc.conference.nameAdvances in Uncertainty Quantification Methods, Algorithms and Applications (UQAW 2015)
dc.conference.locationKAUST
dc.contributor.institutionUniversity of Basel
refterms.dateFOA2018-06-14T03:12:11Z


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