@Article{JCM-40-5,
author = {Hu, Hanzhang and Yanping, Chen},
title = {A Characteristic Mixed Finite Element Two-Grid Method for Compressible Miscible Displacement Problem},
journal = {Journal of Computational Mathematics},
year = {2022},
volume = {40},
number = {5},
pages = {794--813},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2101-m2020-0277},
url = {https://global-sci.com/article/84203/a-characteristic-mixed-finite-element-two-grid-method-for-compressible-miscible-displacement-problem}
}