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

Zhong-yan Liu and Huan-zhen Chen

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:520404

DOI: 10.1155/2014/520404

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