%0 Journal Article
%A Wu, Wei
%A Fish, Jacob
%D 2010
%I Begell House
%K multiscale, homogenization, nonintrusive, stochastic
%N 6
%P 549-559
%R 10.1615/IntJMultCompEng.v8.i6.10
%T Toward a Nonintrusive Stochastic Multiscale Design System for Composite Materials
%U http://dl.begellhouse.com/journals/61fd1b191cf7e96f,0df1454b52421632,5983d83175309481.html
%V 8
%X In this paper we study a nonintrusive stochastic collocation method in combination with a reduced-order homogenization method for solving partial differential equations with oscillatory random coefficients. The method consists of the two-scale homogenization in space, eigendeformation-based model reduction, Galerkin approximation of the reduced-order problem in space, and collocation approximation based on a sparse grid in the probability space that naturally leads to a nonintrusive approach. By this approach the solution of the original stochastic partial differential equations is constructed from a set of decoupled deterministic solutions from which statistical information is obtained. Preliminary numerical experiments are conducted to determine the feasibility of the method for solving two-scale problems in heterogeneous media.
%8 2010-12-15