Multiscale stochastic finite element method on random boundary value problems

Authors:
Lihua Shen;X. Frank Xu
Affiliations:
Institute of Mathematics and Interdisciplinary Science, College of Mathematical Science, Capital Normal University, Beijing, China;Department of Civil, Environmental, and Ocean Engineering, Stevens Institute of Technology, Hoboken, NJ
Venue:
HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications
Year:
2009

Citing 1
Cited 0

A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials

Computers and Structures

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we present a novel Multiscale Stochastic Finite Element Method (MSFEM) to solve boundary value problems involving random heterogeneous materials. The Green-function-based MSFEM decomposes a boundary value problem into three subproblems at three length scales with each being solved with reduced computational cost. A numerical example is provided to illustrate the MSFEM.