A stochastic collocation method for large classes of mechanical problems with uncertain parameters

被引：53
作者：
Bressolette, Ph. [1 ,2 ]
Fogli, M. [1 ,2 ]
Chauviere, C. [3 ]
机构：
[1] UBP, Lab Mecan & Ingn, F-63174 Aubiere, France
[2] IFMA, F-63174 Aubiere, France
[3] UBP, Math Lab, F-63177 Aubiere, France
来源：
PROBABILISTIC ENGINEERING MECHANICS | 2010年 / 25卷 / 02期
关键词：
Stochastic finite elements; Stochastic collocation; Lagrange polynomials; Gauss quadrature rule;
D O I：
10.1016/j.probengmech.2010.01.002
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The paper presents a self-contained and didactic approach to the stochastic collocation method. The method relies on the Lagrange polynomials and the Gauss quadrature rule. It is presented for large classes of mechanical problems, i.e. static problems, dynamic problems and spectral problems. After a general presentation of each of them, examples and results are provided. Numerical results show the high rate of convergence of the proposed method. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：255 / 270
页数：16
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