A two‐grid discontinuous Galerkin method for an incompressible miscible displacement problem-Reference-Cited by-同舟云学术

A two‐grid discontinuous Galerkin method for an incompressible miscible displacement problem

Published:2023-01-04 Issue:4 Volume:39 Page:2763-2786
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numerical Methods Partial

Author:

Yang Jiming¹²^ORCID,Zhou Jing³,Su Yifan²

Affiliation:

1. College of Science, Central South University of Forestry and Technology Changsha China

2. School of Computational Science and Electronics, Hunan Institute of Engineering Xiangtan China

3. Center of Higher Education Research, Hunan Institute of Engineering Xiangtan China

Abstract

AbstractAn incompressible miscible displacement problem in porous media is studied. A two‐grid algorithm based on an interior penalty discontinuous Galerkin method is proposed. With this algorithm, solving a nonlinear system on the discontinuous finite element space is reduced to solving a nonlinear problem on a coarse grid and a linear problem on a fine grid. The error estimate for the concentration in H1‐norm and the error estimate for the velocity in L2‐norm are obtained. The numerical experiments are provided to confirm our theoretical analysis.

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22986

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