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A Multipoint Flux Mixed Finite Element Method for Darcy–Forchheimer Incompressible Miscible Displacement Problem

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Abstract

We consider a numerical scheme for incompressible miscible displacement problem in porous media. A multipoint flux mixed finite element method is used to handle the velocity–pressure equation. The standard finite element method is used to approximate the concentration equation. Error estimates for pressure and velocity and concentration are presented. Numerical experiments show that the convergence rates of this scheme are in agreement with the theoretical analysis.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353, China

    Wenwen Xu

  2. Department of Mathematics and Statistics, York University, Toronto, ON, M3J 1P3, Canada

    Dong Liang

  3. School of Mathematics, Shandong University, Jinan, 250100, China

    Hongxing Rui & Xindong Li

Authors
  1. Wenwen Xu
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  2. Dong Liang
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  3. Hongxing Rui
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  4. Xindong Li
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Correspondence to Xindong Li.

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This work are supported by National Natural Science Foundation of China (Grant Nos. 61503227 and 11801293) and the Natural Science Foundation of Shandong Province (Grant No. ZR2018PA003).

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Xu, W., Liang, D., Rui, H. et al. A Multipoint Flux Mixed Finite Element Method for Darcy–Forchheimer Incompressible Miscible Displacement Problem. J Sci Comput 82, 2 (2020). https://doi.org/10.1007/s10915-019-01103-0

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  • DOI: https://doi.org/10.1007/s10915-019-01103-0

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