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dc.contributor.authorCottereau, Régis
dc.contributor.authorDíez, Pedro
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2016-05-05T12:08:08Z
dc.date.available2016-10-31T01:30:41Z
dc.date.issued2015-10-01
dc.identifier.citationCottereau, R., Diez, P. Fast r-adaptivity for multiple queries of heterogeneous stochastic material fields. "Computational mechanics", 01 Octubre 2015, vol. 56, núm. 4, p. 601-612.
dc.identifier.issn0178-7675
dc.identifier.urihttp://hdl.handle.net/2117/86637
dc.description.abstractWe present an r-adaptivity approach for boundary value problems with randomly fluctuating material parameters solved through the Monte Carlo or stochastic collocation methods. This approach tailors a specific mesh for each sample of the problem. It only requires the computation of the solution of a single deterministic problem with the same geometry and the average parameter, whose numerical cost becomes marginal for large number of samples. Starting from the mesh used to solve that deterministic problem, the nodes are moved depending on the particular sample of mechanical parameter field. The reduction in the error is small for each sample but sums up to reduce the overall bias on the statistics estimated through the Monte Carlo scheme. Several numerical examples in 2D are presented.
dc.format.extent12 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject.lcshStochastic differential equations--Numerical solutions
dc.subject.otherStochastic mechanics
dc.subject.otherMonte Carlo method
dc.subject.otherStochastic collocation method
dc.subject.otherError estimation
dc.subject.otherr-Adaptivity
dc.subject.otherPARTIAL-DIFFERENTIAL-EQUATIONS
dc.subject.otherCONSTITUTIVE RELATION ERROR
dc.subject.otherRANDOM-COEFFICIENTS
dc.subject.otherCOLLOCATION METHOD
dc.subject.otherPOLYNOMIAL CHAOS
dc.subject.otherELLIPTIC PDES
dc.subject.otherSIMULATION
dc.subject.otherHOMOGENIZATION
dc.subject.otherSTRATEGY
dc.subject.otherFLOW
dc.titleFast r-adaptivity for multiple queries of heterogeneous stochastic material fields
dc.typeArticle
dc.subject.lemacAnàlisi numèrica
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1007/s00466-015-1190-x
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
local.identifier.drac16978895
dc.description.versionPostprint (author's final draft)
local.citation.authorCottereau, R.; Diez, P.
local.citation.publicationNameComputational mechanics
local.citation.volume56
local.citation.number4
local.citation.startingPage601
local.citation.endingPage612


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