@Article{AAMM-14-6,
author = {Zhang, Jing and Rui, Hongxing},
title = {Numerical Analysis of Two-Grid Block-Centered Finite Difference Method for Two-Phase Flow in Porous Medium},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2022},
volume = {14},
number = {6},
pages = {1433--1455},
abstract = {<p style="text-align: justify;">In this paper, a two-grid block-centered finite difference method for the incompressible miscible displacement in porous medium is introduced and analyzed,
which is to solve a nonlinear equation on coarse mesh space of size $H$ and a linear
equation on fine grid of size $h.$ We establish the full discrete two-grid block-centered
finite difference scheme on a uniform grid. The error estimates for the pressure, Darcy
velocity, concentration variables are derived, which show that the discrete $L_2$ error
is $\mathcal{O}(∆t+h^2+H^4
).$ Finally, two numerical examples are provided to demonstrate the
effectiveness and accuracy of our algorithm.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2021-0187},
url = {https://global-sci.com/article/72947/numerical-analysis-of-two-grid-block-centered-finite-difference-method-for-two-phase-flow-in-porous-medium}
}