A pseudospectral approach for Kirchhoff plate bending problems with uncertainties
type: Item
instance of: scholarly article
title: A pseudospectral approach for Kirchhoff plate bending problems with uncertainties
zbMATH Open document ID: 1264.74147
DOI: 10.1155/2012/750605
author: Ling Guo
author: Jianguo Huang
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S25
Mathematics Subject Classification ID: 74G60
zbMATH DE Number: 6173547
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/750605
OpenAlex ID: W1999790649
Wikidata QID: Q58911728
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description: scientific article; zbMATH DE number 6173547