An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis

2010 ◽  
Vol 25 (2) ◽  
pp. 183-197 ◽  
Author(s):  
Géraud Blatman ◽  
Bruno Sudret
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Adaptive Algorithm ◽  
Polynomial Chaos ◽  
Stochastic Finite Element ◽  
Element Analysis ◽  
Sparse Polynomial ◽  
Stochastic Finite Element Analysis ◽  
Polynomial Chaos Expansions

scholarly journals Stochastic Finite Element Analysis using Polynomial Chaos

2016 ◽  
Vol 38 (1) ◽  
pp. 33-43 ◽  
Author(s):  
S. Drakos ◽  
G.N. Pande
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stochastic Analysis ◽  
Polynomial Chaos ◽  
Computational Time ◽  
Chaos Expansion ◽  
Stochastic Finite Element ◽  
Element Analysis ◽  
Stochastic Finite Element Analysis ◽  
Random Finite Element

Abstract This paper presents a procedure of conducting Stochastic Finite Element Analysis using Polynomial Chaos. It eliminates the need for a large number of Monte Carlo simulations thus reducing computational time and making stochastic analysis of practical problems feasible. This is achieved by polynomial chaos expansion of the displacement field. An example of a plane-strain strip load on a semi-infinite elastic foundation is presented and results of settlement are compared to those obtained from Random Finite Element Analysis. A close matching of the two is observed.

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