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Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous Medium

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  • Zhong-yan Liu
  • Huan-zhen Chen

Abstract

By choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve numerically a kind of anisotropic diffusion models governed by the elliptic interface problems with discontinuous tensor-conductivity. The existence and uniqueness of the discrete scheme are proved, and an optimal-order energy-norm estimate and -norm estimate for the numerical solution are derived.

Suggested Citation

  • Zhong-yan Liu & Huan-zhen Chen, 2014. "Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous Medium," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
    • Handle: RePEc:hin:jnlaaa:520404
    DOI: 10.1155/2014/520404
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