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arXiv · 1807.00710

Online mixed multiscale finite element method with oversampling and its applications

Yanfang Yang·Shubin Fu·Eric T Chung
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Abstract

In this paper, we consider an online basis enrichment mixed generalized multiscale method with oversampling, for solving flow problems in highly heterogeneous porous media. This is an exten- sion of the online mixed generalized multiscale method [6]. The multiscale online basis functions are computed by solving a Neumann problem in an over-sampled domain, instead of a standard neighborhood of a coarse face. We are motivated by the restricted domain decomposition method. Extensive numerical experiments are presented to demonstrate the performance of our methods for both steady-state flow, and two-phase flow and transport problems.

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Yanfang Yang, Shubin Fu, Eric T Chung. 2018-07-02. Online mixed multiscale finite element method with oversampling and its applications. https://arxiv.org/abs/1807.00710

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