Intrusive versus Non-Intrusive Methods for Stochastic Finite Elements

M. Herzog (), A. Gilg (), M. Paffrath (), P. Rentrop () and U. Wever ()
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M. Herzog: Technische Universität München, Centre for Mathematical Sciences, Numerical Analysis
A. Gilg: Siemens AG, Corporate Technology
M. Paffrath: Siemens AG
P. Rentrop: Technische Universität München
U. Wever: Siemens AG

A chapter in From Nano to Space, 2008, pp 161-174 from Springer

Abstract: 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.

Keywords: MSC; 41A10; 60Gxx; 65Cxx (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-74238-8_13

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

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