TY - JOUR
T1 - Mixed method for compressible miscible displacement with dispersion in porous media
AU - C. Chen
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 1
SP - 74
EP - 82
PY - 2007
DA - 2007/02
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/10080.html
KW - 
AB - 
Compressible miscible displacement of one fluid by another in porous
media is modelled by a nonlinear parabolic system. A finite element
procedure is introduced to approximate the concentration of one
fluid and the pressure of the mixture. The concentration is treated
by a Galerkin method while the pressure is treated by a parabolic
mixed finite element method. The effect of  dispersion, which is
neglected in [1], is considered. Optimal order estimates in $L^{2}$
are derived for the errors in the approximate solutions.