Intrusive versus non-intrusive methods for stochastic finite elements

M. Herzog; A. Gilg; M. Paffrath; P. Rentrop; U. Wever

doi:10.1007/978-3-540-74238-8_13

Intrusive versus non-intrusive methods for stochastic finite elements

M. Herzog, A. Gilg, M. Paffrath, P. Rentrop, U. Wever

Chair of Automotive Technology

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

20 Scopus citations

Abstract

In this paper we compare an intrusive with an non-intrusive method for computing Polynomial Chaos expansions. The main disadvantage of the nonintrusive method, the high number of function evaluations, is eliminated by a special Adaptive Gauss-Quadrature method. A detailed efficiency and accuracy analysis is performed for the new algorithm. The Polynomial Chaos expansion is applied to a practical problem in the field of stochastic Finite Elements.

Original language	English
Title of host publication	From Nano to Space
Subtitle of host publication	Applied Mathematics Inspired by Roland Bulirsch
Publisher	Springer Berlin Heidelberg
Pages	161-174
Number of pages	14
ISBN (Print)	9783540742371
DOIs	https://doi.org/10.1007/978-3-540-74238-8_13
State	Published - 2008

Keywords

41A10
60Gxx
65Cxx
MSC

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10.1007/978-3-540-74238-8_13

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AU - Wever, U.

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KW - 60Gxx

KW - 65Cxx

KW - MSC

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ER -

Intrusive versus non-intrusive methods for stochastic finite elements

Abstract

Keywords

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