Volume 5, Issue 4
An Alternating Direction Galerkin Method Combined with a Modified Method of Characteristics for Miscible Displacement Influenced by Mobile and Immobile Water

Int. J. Numer. Anal. Mod., 5 (2008), pp. 659-672.

Published online: 2008-05

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• Abstract

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.

• Keywords

alternating direction Galerkin method, modified method of characteristic, finite element methods, error estimate.

35R35, 65M60, 65M15

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@Article{IJNAM-5-659, author = {M. and Cui and and 21165 and and M. Cui and H. and Chen and and 21166 and and H. Chen and R. E. and Ewing and and 21167 and and R. E. Ewing and G. and Qin and and 21168 and and G. Qin}, title = {An Alternating Direction Galerkin Method Combined with a Modified Method of Characteristics for Miscible Displacement Influenced by Mobile and Immobile Water}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {4}, pages = {659--672}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/831.html} }
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 -

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.

M. Cui, H. Chen, R. E. Ewing & G. Qin. (1970). An Alternating Direction Galerkin Method Combined with a Modified Method of Characteristics for Miscible Displacement Influenced by Mobile and Immobile Water. International Journal of Numerical Analysis and Modeling. 5 (4). 659-672. doi:
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