Online mixed multiscale finite element method with oversampling and its applications

Yanfang Yang Shubin Fu Tsz Shun Eric CHUNG

Numerical Analysis and Scientific Computing mathscidoc:1910.43606

arXiv preprint arXiv:1807.00710, 2020.7
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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@inproceedings{yanfang2020online,
  title={Online mixed multiscale finite element method with oversampling and its applications},
  author={Yanfang Yang, Shubin Fu, and Tsz Shun Eric CHUNG},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020203841384629135},
  booktitle={arXiv preprint arXiv:1807.00710},
  year={2020},
}
Yanfang Yang, Shubin Fu, and Tsz Shun Eric CHUNG. Online mixed multiscale finite element method with oversampling and its applications. 2020. In arXiv preprint arXiv:1807.00710. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020203841384629135.
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