High-order local discontinuous Galerkin method for simulating wormhole propagation

Hui Guo China University of Petroleum Lulu Tian China Univerisyt of Petroleum Ziyao Xu Michigan Technological University Yang Yang Michigan Technological University

Numerical Analysis and Scientific Computing mathscidoc:1907.25004

Journal of Computational and Applied Mathematics, 350, 247-261, 2019.4
In this paper, we apply local discontinuous Galerkin methods to the compressible wormhole propagation. Optimal error estimates for the pressure, velocity, porosity and concentration in different norms are established on non-uniform grids. Numerical experiments are presented to verify the theoretical analysis and show the good performance of the LDG scheme for compressible wormhole propagation.
local discontinuous Galerkin method; error estimate; compressible wormhole propagation
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@inproceedings{hui2019high-order,
  title={High-order local discontinuous Galerkin method for simulating wormhole propagation},
  author={Hui Guo, Lulu Tian, Ziyao Xu, and Yang Yang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190701094143841852384},
  booktitle={Journal of Computational and Applied Mathematics},
  volume={350},
  pages={247-261},
  year={2019},
}
Hui Guo, Lulu Tian, Ziyao Xu, and Yang Yang. High-order local discontinuous Galerkin method for simulating wormhole propagation. 2019. Vol. 350. In Journal of Computational and Applied Mathematics. pp.247-261. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190701094143841852384.
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