Finite element perturbation analysis of non‐linear heat conduction problems with random field parameters

B.M. Nicolaï (Department of Agro‐Engineering and Economics, K.U. Leuven, Heverlee, Belgium)
J. De Baerdemaeker (Department of Agro‐Engineering and Economics, K.U. Leuven, Heverlee, Belgium)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Publication date: 1 August 1997

Abstract

Derives a first order perturbation algorithm for the computation of mean values and (co‐) variances of the transient temperature field in conduction heated materials with random field parameters. Considers both linear as well as non‐linear heat conduction problems. The algorithm is advantageous in terms of computer time compared to the Monte Carlo method. The computer time can further be reduced by appropriate transformation of the random vectors resulting from the discretization of the random fields.

Keywords

Citation

Nicolaï, B. and De Baerdemaeker, J. (1997), "Finite element perturbation analysis of non‐linear heat conduction problems with random field parameters", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 7 No. 5, pp. 525-544. https://doi.org/10.1108/09615539710187819

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Publisher

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MCB UP Ltd

Copyright © 1997, MCB UP Limited

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