Generalized Neumann Expansion and Its Application in Stochastic Finite Element Methods
Joint Authors
Wang, Xiangyu
Li, Chenfeng
Cen, Song
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
An acceleration technique, termed generalized Neumann expansion (GNE), is presented for evaluating the responses of uncertain systems.
The GNE method, which solves stochastic linear algebraic equations arising in stochastic finite element analysis, is easy to implement and is of high efficiency.
The convergence condition of the new method is studied, and a rigorous error estimator is proposed to evaluate the upper bound of the relative error of a given GNE solution.
It is found that the third-order GNE solution is sufficient to achieve a good accuracy even when the variation of the source stochastic field is relatively high.
The relationship between the GNE method, the perturbation method, and the standard Neumann expansion method is also discussed.
Based on the links between these three methods, quantitative error estimations for the perturbation method and the standard Neumann method are obtained for the first time in the probability context.
American Psychological Association (APA)
Wang, Xiangyu& Cen, Song& Li, Chenfeng. 2013. Generalized Neumann Expansion and Its Application in Stochastic Finite Element Methods. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1009046
Modern Language Association (MLA)
Wang, Xiangyu…[et al.]. Generalized Neumann Expansion and Its Application in Stochastic Finite Element Methods. Mathematical Problems in Engineering No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-1009046
American Medical Association (AMA)
Wang, Xiangyu& Cen, Song& Li, Chenfeng. Generalized Neumann Expansion and Its Application in Stochastic Finite Element Methods. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1009046
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009046