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Multiresolution Analysis for Stochastic Finite Element Problems with Wavelet-Based Karhunen-Loève Expansion
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-03
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Multiresolution analysis for problems involving random parameter fields is considered.
The random field is discretized by a Karhunen-Loève 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.
American Psychological Association (APA)
Proppe, Carsten. 2012. Multiresolution Analysis for Stochastic Finite Element Problems with Wavelet-Based Karhunen-Loève Expansion. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029508
Modern Language Association (MLA)
Proppe, Carsten. Multiresolution Analysis for Stochastic Finite Element Problems with Wavelet-Based Karhunen-Loève Expansion. Mathematical Problems in Engineering No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1029508
American Medical Association (AMA)
Proppe, Carsten. Multiresolution Analysis for Stochastic Finite Element Problems with Wavelet-Based Karhunen-Loève Expansion. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029508
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029508