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An Efficient Scheme for Stochastic Finite Element Solutions
Author(s) -
Jablonski PhilippPaul,
Nackenhorst Udo
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210096
Subject(s) - polynomial chaos , finite element method , displacement (psychology) , mathematics , representation (politics) , polynomial , scheme (mathematics) , von mises yield criterion , element (criminal law) , mathematical optimization , computer science , mathematical analysis , structural engineering , monte carlo method , engineering , psychology , statistics , politics , political science , law , psychotherapist
The Polynomial Chaos expansion in Stochastic Finite Element Methods increases the size of the resulting linear systems dramatically. In iterative scheme which takes the underlying statistics into account is suggested for the efficient numerical solution. Additionally, an approach for the solution of von Mises stresses from the Polynomial Chaos representation of the displacement field is outlined. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)