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. © 2010 Springer-Verlag.
CITATION STYLE
Shen, L., & Xu, X. F. (2010). Multiscale stochastic finite element method on random boundary value problems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5938 LNCS, pp. 356–361). https://doi.org/10.1007/978-3-642-11842-5_49
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