The stochastic finite element method: Past, present and future

Stefanou, G

dc.contributor.author	Stefanou, G	en
dc.date.accessioned	2014-03-01T11:45:06Z
dc.date.available	2014-03-01T11:45:06Z
dc.date.issued	2009	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/37226
dc.subject	Monte Carlo simulation	en
dc.subject	Parallel processing	en
dc.subject	Solution techniques	en
dc.subject	Stochastic finite elements	en
dc.subject	Stochastic partial differential equations	en
dc.subject	Stochastic processes and fields	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Computational fluid dynamics	en
dc.subject.other	Computational mechanics	en
dc.subject.other	Image segmentation	en
dc.subject.other	Mechanical properties	en
dc.subject.other	Mechanics	en
dc.subject.other	Monte Carlo methods	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Stochastic models	en
dc.subject.other	Monte Carlo simulation	en
dc.subject.other	Parallel processing	en
dc.subject.other	Solution techniques	en
dc.subject.other	Stochastic finite elements	en
dc.subject.other	Stochastic partial differential equations	en
dc.subject.other	Stochastic processes and fields	en
dc.subject.other	Finite element method	en
dc.title	The stochastic finite element method: Past, present and future	en
heal.type	other	en
heal.identifier.primary	10.1016/j.cma.2008.11.007	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cma.2008.11.007	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	A powerful tool in computational stochastic mechanics is the stochastic finite element method (SFEM). SFEM is in extension of the classical deterministic FE approach to the stochastic framework i.e. to the solution of static and dynamic problems with stochastic mechanical, geometric and/or loading properties. The considerable attention that SFEM received over the last decade call be mainly attributed to the Spec tacular growth of computing Power rendering possible the efficient treatment of large-scale problems. This article aims at providing a state-of-the-art review of past and recent developments in the SFEM area and indicating future directions as well as some open issues to be examined by the computational mechanics community in the future. (C) 2008 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/j.cma.2008.11.007	en
dc.identifier.isi	ISI:000263630200013	en
dc.identifier.volume	198	en
dc.identifier.issue	9-12	en
dc.identifier.spage	1031	en
dc.identifier.epage	1051	en