Abstract and Applied Analysis

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

Zhong-yan Liu and Huan-zhen Chen

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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 L 2 -norm estimate for the numerical solution are derived.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 520404, 10 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412279690

Digital Object Identifier
doi:10.1155/2014/520404

Mathematical Reviews number (MathSciNet)
MR3219374

Zentralblatt MATH identifier
07022544

Citation

Liu, Zhong-yan; Chen, Huan-zhen. Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous Medium. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 520404, 10 pages. doi:10.1155/2014/520404. https://projecteuclid.org/euclid.aaa/1412279690


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