On the generalization of probabilistic transformation method

Seifedine Kadry

doi:10.1016/j.amc.2007.02.009

On the generalization of probabilistic transformation method

Seifedine Kadry

LaMI-IFMA

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

The probabilistic transformation method with the finite element analysis is a new technique to solve random differential equation. The advantage of this technique is finding the "exact" expression of the probability density function of the solution when the probability density function of the input is known. However the disadvantage is due to the characteristics (geometrics and materials) of the analyzed structure included in the random differential equation. In this paper, a developed formula is used to generalize this technique by obtaining the "exact" joint probability density function of the solution in any situations, as well as the proposed technique for the non-linear case.

Original language	English
Pages (from-to)	1284-1289
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	190
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2007.02.009
State	Published - 15 Jul 2007
Externally published	Yes

Keywords

FEA
Probabilistic transformation method
Random matrix
Stochastic differential equation

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10.1016/j.amc.2007.02.009

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AB - The probabilistic transformation method with the finite element analysis is a new technique to solve random differential equation. The advantage of this technique is finding the "exact" expression of the probability density function of the solution when the probability density function of the input is known. However the disadvantage is due to the characteristics (geometrics and materials) of the analyzed structure included in the random differential equation. In this paper, a developed formula is used to generalize this technique by obtaining the "exact" joint probability density function of the solution in any situations, as well as the proposed technique for the non-linear case.

KW - FEA

KW - Probabilistic transformation method

KW - Random matrix

KW - Stochastic differential equation

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DO - 10.1016/j.amc.2007.02.009

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

On the generalization of probabilistic transformation method

Abstract

Keywords

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