A Pseudospectral Approach for Kirchhoff Plate Bending Problems with Uncertainties
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-22
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper proposes a pseudospectral approach for the Kirchhoff plate bending problem with uncertainties.
The Karhunen-Loève expansion is used to transform the original problem to a stochastic fourth-order PDE depending only on a finite number of random variables.
For the latter problem, its exact solution is approximated by a gPC expansion, with the coefficients obtained by the sparse grid method.
The main novelty of the method is that it can be carried out in parallel directly while keeping the high accuracy and fast convergence of the gPC expansion.
Several numerical results are performed to show the accuracy and performance of the method.
American Psychological Association (APA)
Guo, Ling& Huang, Jianguo. 2012. A Pseudospectral Approach for Kirchhoff Plate Bending Problems with Uncertainties. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1001890
Modern Language Association (MLA)
Guo, Ling& Huang, Jianguo. A Pseudospectral Approach for Kirchhoff Plate Bending Problems with Uncertainties. Mathematical Problems in Engineering No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1001890
American Medical Association (AMA)
Guo, Ling& Huang, Jianguo. A Pseudospectral Approach for Kirchhoff Plate Bending Problems with Uncertainties. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1001890
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001890