Mixed method for compressible miscible displacement with dispersion in porous media
Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 74-82
Published online: 2007-02
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@Article{NM-16-74,
author = {C. Chen},
title = {Mixed method for compressible miscible displacement with dispersion in porous media},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2007},
volume = {16},
number = {1},
pages = {74--82},
abstract = {
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.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/10080.html}
}
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.
C. Chen. (2007). Mixed method for compressible miscible displacement with dispersion in porous media.
Numerical Mathematics, a Journal of Chinese Universities. 16 (1).
74-82.
doi:
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