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math.NA2012★ 4 cited
Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential
Guillaume Bal, Wenjia Jing
This paper analyzes the random fluctuations obtained by a heterogeneous multi-scale first-order finite element method applied to solve elliptic equations with a random potential. W…
math.NA2010★ 54 cited
Corrector theory for MsFEM and HMM in random media
Guillaume Bal, Wenjia Jing
We analyze the random fluctuations of several multi-scale algorithms such as the multi-scale finite element method (MsFEM) and the finite element heterogeneous multiscale method (H…