A Resourceful Splitting Technique with Applications to Deterministic and Stochastic Multiscale Finite Element Methods

Abstract

In this paper we use a splitting technique to develop new multiscale basis functions for the multiscale finite element method (MsFEM). The multiscale basis functions are iteratively generated using a Green’s kernel. The Green’s kernel is based on the first differential operator of the splitting. The proposed MsFEM is applied to deterministic elliptic… (More)
DOI: 10.1137/110843253

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