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Adaptive multiscale model reduction with generalized multiscale finite element methods

Tsz Shun Eric CHUNG Yalchin Efendiev Thomas Y Hou

Numerical Analysis and Scientific Computing mathscidoc:1910.43463

Journal of Computational Physics, 320, 69-95, 2016.9
In this paper, we discuss a general multiscale model reduction framework based on multiscale finite element methods. We give a brief overview of related multiscale methods. Due to page limitations, the overview focuses on a few related methods and is not intended to be comprehensive. We present a general adaptive multiscale model reduction framework, the Generalized Multiscale Finite Element Method. Besides the method's basic outline, we discuss some important ingredients needed for the method's success. We also discuss several applications. The proposed method allows performing local model reduction in the presence of high contrast and no scale separation.
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@inproceedings{tsz2016adaptive,
  title={Adaptive multiscale model reduction with generalized multiscale finite element methods},
  author={Tsz Shun Eric CHUNG, Yalchin Efendiev, and Thomas Y Hou},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020175745870325992},
  booktitle={Journal of Computational Physics},
  volume={320},
  pages={69-95},
  year={2016},
}
Tsz Shun Eric CHUNG, Yalchin Efendiev, and Thomas Y Hou. Adaptive multiscale model reduction with generalized multiscale finite element methods. 2016. Vol. 320. In Journal of Computational Physics. pp.69-95. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020175745870325992.
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