The error analysis of linearized discontinuous Galerkin finite element method for incompressible miscible displacement in porous media

In this paper, the streamline diffusion weak Galerkin finite element method is proposed and analyzed for solving unsteady time convection diffusion problem in two dimension. The v-elliptic property and the stability of this scheme are proved in terms of some conditions. We derive an error estimate in L2(μ) and H1(μ) norm. Numerical experiments have demonstrated the effectiveness of the method in solving convection propagation problems, and the theoretical analysis has been validated.

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The error analysis of linearized discontinuous Galerkin finite element method for incompressible miscible displacement in porous media

Cited by 2 publications

References 3 publications

The behaviour of the maximum and minimum error for Fredholm-Volterra integral equations in two-dimensional space

The behaviour of the maximum and minimum error for Fredholm-Volterra integral equations in two-dimensional space

Streamline Diffusion Weak Galerkin Finite Element Methods for Linear Unsteady State Convection Diffusion Equations and Error Analysis

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