Study of Discrete Duality Finite Volume Schemes for the Peaceman Model

@article{ChainaisHillairet2013StudyOD,
  title={Study of Discrete Duality Finite Volume Schemes for the Peaceman Model},
  author={Claire Chainais-Hillairet and Stella Krell and Alexandre Mouton},
  journal={SIAM J. Sci. Comput.},
  year={2013},
  volume={35}
}
In this paper, we are interested in the finite volume approximation of a system describing miscible displacement in porous media. This system is made of two coupled equations: an anisotropic diffusion equation on the pressure and a convection-diffusion-dispersion equation on the concentration of invading fluid. The anisotropic diffusion operators in both equations require a special care while discretizing by a finite volume method. We focus here on the numerical approximation by some Discrete… 

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