Graph theoretical methods for efficient stochastic finite element analysis of structures
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- 作者：P. Zakiana ; N. Khajia ; nkhaji@modares.ac.ir" class="auth_mail" title="E-mail the corresponding author ; A. Kavehb
- 关键词：Stochastic Spectral Finite Element Method (StSFEM) ; Karhunen&ndash ; Loè ; ve Expansion (KLE) ; Polynomial Chaos Expansion (PCE) ; Swift analysis ; Graph theory ; Regular domains
- 刊名：Computers & Structures
- 出版年：2017
- 出版时间：1 January 2017
- 年：2017
- 卷：178
- 期：Complete
- 页码：29-46
- 全文大小：4313 K
文摘
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An efficient StFEM is developed for analysis of structures.
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A method based on graph product rules is presented and extended to StFEM.
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A swift and symmetry-independent numerical solution of Fredholm integral equation of KL expansion is presented.
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A preconditioner is applied to decompose the matrices to Kronecker products of sub-matrices.
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Graph product rules solve the governing linear equation without inversing the final matrix.