A Characteristic Mixed Finite Element Two-Grid Method for Compressible Miscible Displacement Problem
Year: 2022
Author: Hanzhang Hu, Yanping Chen
Journal of Computational Mathematics, Vol. 40 (2022), Iss. 5 : pp. 794–813
Abstract
A nonlinear parabolic system is derived to describe compressible miscible displacement in a porous medium. The concentration equation is treated by a mixed finite element method with characteristics (CMFEM) and the pressure equation is treated by a parabolic mixed finite element method (PMFEM). Two-grid algorithm is considered to linearize nonlinear coupled system of two parabolic partial differential equations. Moreover, the $L^q$ error estimates are conducted for the pressure, Darcy velocity and concentration variables in the two-grid solutions. Both theoretical analysis and numerical experiments are presented to show that the two-grid algorithm is very effective.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2101-m2020-0277
Journal of Computational Mathematics, Vol. 40 (2022), Iss. 5 : pp. 794–813
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Two-grid method Miscible displacement problem Mixed finite element Characteristic finite element method.