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Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media

Kai Gao Shubin Fu Richard L Gibson Jr Tsz Shun Eric CHUNG Yalchin Efendiev

Numerical Analysis and Scientific Computing mathscidoc:1910.43469

Journal of Computational Physics, 295, 161-188, 2015.8
It is important to develop fast yet accurate numerical methods for seismic wave propagation to characterize complex geological structures and oil and gas reservoirs. However, the computational cost of conventional numerical modeling methods, such as finite-difference method and finite-element method, becomes prohibitively expensive when applied to very large models. We propose a Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media, where we construct basis functions from multiple local problems for both the boundaries and interior of a coarse node support or coarse element. The application of multiscale basis functions can capture the fine scale medium property variations, and allows us to greatly reduce the degrees of freedom that are required to implement the modeling compared with conventional finite-element method for wave
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@inproceedings{kai2015generalized,
  title={Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media},
  author={Kai Gao, Shubin Fu, Richard L Gibson Jr, Tsz Shun Eric CHUNG, and Yalchin Efendiev},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020175922787717998},
  booktitle={Journal of Computational Physics},
  volume={295},
  pages={161-188},
  year={2015},
}
Kai Gao, Shubin Fu, Richard L Gibson Jr, Tsz Shun Eric CHUNG, and Yalchin Efendiev. Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media. 2015. Vol. 295. In Journal of Computational Physics. pp.161-188. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020175922787717998.
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