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A hybrid finite difference/control volume method for the three dimensional poroelastic wave equations in the spherical coordinate system

Wensheng Zhang Li Tong Tsz Shun Eric CHUNG

TBD mathscidoc:1910.43532

Journal of Computational and Applied Mathematics, 255, 812-824, 2014.1
In this paper, we consider the numerical approximation of the three-dimensional poroelastic wave equations in the spherical coordinate system. One difficulty in the design of an efficient numerical scheme is that the problem is singular in the center and the polar axes of the computational domain. Nevertheless, we develop a hybrid finite difference/control volume method for solving this problem. Our method is explicit and is second order accurate in both space and time. Numerical results are shown to confirm the convergence rate of our method and the effectiveness to simulate wave propagation in poroelastic media in the spherical coordinate system.
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@inproceedings{wensheng2014a,
  title={A hybrid finite difference/control volume method for the three dimensional poroelastic wave equations in the spherical coordinate system},
  author={Wensheng Zhang, Li Tong, and Tsz Shun Eric CHUNG},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020182116089168061},
  booktitle={Journal of Computational and Applied Mathematics},
  volume={255},
  pages={812-824},
  year={2014},
}
Wensheng Zhang, Li Tong, and Tsz Shun Eric CHUNG. A hybrid finite difference/control volume method for the three dimensional poroelastic wave equations in the spherical coordinate system. 2014. Vol. 255. In Journal of Computational and Applied Mathematics. pp.812-824. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020182116089168061.
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