TY - JOUR
T1 - An Alternating Direction Galerkin Method Combined with a Modified Method of Characteristics for Miscible Displacement Influenced by Mobile and Immobile Water
AU - Cui , M.
AU - Chen , H.
AU - Ewing , R. E.
AU - Qin , G.
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 659
EP - 672
PY - 2008
DA - 2008/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/831.html
KW - alternating direction Galerkin method, modified method of characteristic, finite element methods, error estimate.
AB - <p style="text-align: justify;">Numerical approximations are considered for a mathematical
model for miscible displacement influenced by mobile and immobile water.
A mixed finite element method is adopted to give a direct approximation
of the velocity, the concentration in mobile water is approximated by an
alternating direction Galerkin finite element method combined with the
method of characteristics and the concentration in immobile water is
approximated by a standard Galerkin method. Optimal order $L^2$- and $H^1$-error estimates are derived.</p>