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Adapted polynomial chaos expansion for failure detection

โœ Scribed by M. Paffrath; U. Wever

Book ID
104021645
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
339 KB
Volume
226
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

In this paper, we consider two methods of computation of failure probabilities by adapted polynomial chaos expansions. The performance of the two methods is demonstrated by a predator-prey model and a chemical reaction problem.

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This paper presents a new module towards the development of efficient computational stochastic mechanics. Specifically, the possibility of an adaptive polynomial chaos expansion is investigated. Adaptivity in this context refers to retaining, through an iterative procedure, only those terms in a rep