Multiresolution Analysis for Stochastic Finite Element Problems with Wavelet-Based Karhunen-Loeve Expansion

被引：7
|
作者：
Proppe, Carsten [1 ]
机构：
[1] KIT, Inst Engn Mech, D-76131 Karlsruhe, Germany
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷
关键词：
PARTIAL-DIFFERENTIAL-EQUATIONS; NONLINEAR MECHANICAL PROBLEMS; UNCERTAINTY PROPAGATION; POLYNOMIAL CHAOS; RELIABILITY;
D O I：
10.1155/2012/215109
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Multiresolution analysis for problems involving random parameter fields is considered. The random field is discretized by a Karhunen-Loeve expansion. The eigenfunctions involved in this representation are computed by a wavelet expansion. The wavelet expansion allows to control the spatial resolution of the problem. Fine and coarse scales are defined, and the fine scales are taken into account by projection operators. The influence of the truncation level for the wavelet expansion on the computed reliability is documented.
引用
收藏
页数：15
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