A mixed and discontinuous Galerkin finite volume element method for incompressible miscible displacement problems in porous media

2011 ◽  
Vol 28 (4) ◽  
pp. 1354-1381 ◽  
Author(s):  
Sarvesh Kumar
Keyword(s):  
Porous Media ◽  
Discontinuous Galerkin ◽  
Finite Volume ◽  
Miscible Displacement ◽  
Volume Element ◽  
Finite Volume Element Method ◽  
Finite Volume Element ◽  
Element Method

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

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Zhong-yan Liu ◽  
Huan-zhen Chen
Keyword(s):  
Function Space ◽  
Discontinuous Galerkin ◽  
Finite Volume ◽  
Volume Element ◽  
Piecewise Constant Function ◽  
Optimal Order ◽  
Finite Volume Element Method ◽  
Norm Estimate ◽  
Finite Volume Element ◽  
Element Method

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 andL2-norm estimate for the numerical solution are derived.

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