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
相关论文
共 50 条
  • [31] Karhunen-Loeve expansion based on an analytical solution over a bounding box domain
    Basmaji, A. A.
    Dannert, M. M.
    Bensel, F.
    Fleury, R. M. N.
    Fau, A.
    Nackenhorst, U.
    PROBABILISTIC ENGINEERING MECHANICS, 2023, 74
  • [32] POMs analysis of randomly vibrating systems obtained from Karhunen-Loeve expansion
    Bellizzi, Sergio
    Sampaio, Rubens
    JOURNAL OF SOUND AND VIBRATION, 2006, 297 (3-5) : 774 - 793
  • [33] Combination of Partial Stochastic Linearization and Karhunen-Loeve Expansion to Design Coriolis Dynamic Vibration Absorber
    Viet Duc La
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
  • [34] Stochastic analysis of saturated-unsaturated flow in heterogeneous media by combining Karhunen-Loeve expansion and perturbation method
    Yang, JZ
    Zhang, DX
    Lu, ZM
    JOURNAL OF HYDROLOGY, 2004, 294 (1-3) : 18 - 38
  • [35] A non probabilistic algorithm based on Karhunen-Loeve transform for the recognition of stochastic signals
    Gianfelici, Francesco
    Turchetti, Claudio
    Crippa, Paolo
    2006 IEEE INTERNATIONAL SYMPOSIUM ON SIGNAL PROCESSING AND INFORMATION TECHNOLOGY, VOLS 1 AND 2, 2006, : 385 - +
  • [36] Nonlinear system stochastic response determination via fractional equivalent linearization and Karhunen-Loeve expansion
    Dai, Hongzhe
    Zheng, Zhibao
    Wang, Wei
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 49 : 145 - 158
  • [37] A Quantum Karhunen-Loeve Expansion and Quadratic-Exponential Functionals for Linear Quantum Stochastic Systems
    Vladimirov, Igor G.
    Petersen, Ian R.
    James, Matthew R.
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 425 - 430
  • [38] SFCVQ and EZW coding method based on Karhunen-Loeve transformation and integer wavelet transformation
    Yan, Jingwen
    Chen, Jiazhen
    CHINESE OPTICS LETTERS, 2007, 5 (03) : 153 - 155
  • [39] SFCVQ and EZW coding method based on Karhunen-Loeve transformation and integer wavelet transformation
    闫敬文
    陈嘉臻
    Chinese Optics Letters, 2007, (03) : 153 - 155
  • [40] Implementation of Karhunen-Loeve expansion using discontinuous Legendre polynomial based Galerkin approach
    Basmaji, A. A.
    Dannert, M. M.
    Nackenhorst, U.
    PROBABILISTIC ENGINEERING MECHANICS, 2022, 67
12345