Parallel solution methods for stochastic finite element analysis using Monte Carlo simulation

Papadrakakis, M; Kotsopulos, A

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Kotsopulos, A	en
dc.date.accessioned	2014-03-01T01:15:02Z
dc.date.available	2014-03-01T01:15:02Z
dc.date.issued	1999	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13296
dc.subject	Averaging Method	en
dc.subject	Cost Effectiveness	en
dc.subject	Domain Decomposition Method	en
dc.subject	Monte Carlo Simulation	en
dc.subject	Parallel Computer	en
dc.subject	Stochastic Finite Elements	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Computer simulation	en
dc.subject.other	Integral equations	en
dc.subject.other	Monte Carlo methods	en
dc.subject.other	Parallel processing systems	en
dc.subject.other	Random processes	en
dc.subject.other	Strain	en
dc.subject.other	Stress analysis	en
dc.subject.other	Stochastic finite element method (SFEM)	en
dc.subject.other	Finite element method	en
dc.title	Parallel solution methods for stochastic finite element analysis using Monte Carlo simulation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7825(98)00147-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7825(98)00147-9	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	In the present paper innovative solution strategies for parallel computer implementation have been developed in connection with the Monte Carlo Simulation (MCS) and the weighted integral method to produce efficient numerical handling of stochastic finite element analysis for 2D plane stress/strain problems. Furthermore, MCS in conjunction with the local average method is also used to extend the stochastic finite element analysis to 3D solid structures. Although MCS approaches have the major advantage that accurate solutions can be obtained for any type of problem whose deterministic solution is known either numerically or analytically their applicability is hindered by the high computational effort that is required. The implementation of innovative parallel solution techniques in this study resulted in cost effective treatment of these highly computationally demanding problems. One- and two-level domain decomposition methods have been implemented. Numerical results revealed that the proposed approaches permit an efficient treatment of stochastic finite element analysis for rear-scale 2D plane stress/strain and 3D solid structures. (C) 1999 Elsevier Science S.A. 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/S0045-7825(98)00147-9	en
dc.identifier.isi	ISI:000078273200021	en
dc.identifier.volume	168	en
dc.identifier.issue	1-4	en
dc.identifier.spage	305	en
dc.identifier.epage	320	en