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A priori error estimates of a combined mixed finite element and local discontinuous Galerkin method for an incompressible miscible displacement problem

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  • Yang, Jiming
  • Chen, Yanping
  • Huang, Yunqing

Abstract

A numerical approximation for a kind of incompressible miscible displacement problems in high dimension in porous media is studied. Mixed finite element method is applied to the flow equation, and the transport one is solved by the local discontinuous Galerkin method (LDG). Based on interpolation projection properties and the induction hypothesis, a priori hp error estimates are obtained. Numerical results are presented, which verify the theoretical results.

Suggested Citation

  • Yang, Jiming & Chen, Yanping & Huang, Yunqing, 2018. "A priori error estimates of a combined mixed finite element and local discontinuous Galerkin method for an incompressible miscible displacement problem," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 141-151.
    • Handle: RePEc:eee:apmaco:v:334:y:2018:i:c:p:141-151
    DOI: 10.1016/j.amc.2017.12.022
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    References listed on IDEAS

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    1. Guo, Hui & Zhang, Qinghua & Wang, Jichao, 2015. "Error analysis of the semi-discrete local discontinuous Galerkin method for compressible miscible displacement problem in porous media," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 88-105.
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