An Alternating Direction Galerkin Method Combined with a Modified Method of Characteristics for Miscible Displacement Influenced by Mobile and Immobile Water
Year: 2008
Author: M. Cui, H. Chen, R. E. Ewing, G. Qin
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-831
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 4 : pp. 659–672
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: alternating direction Galerkin method modified method of characteristic finite element methods error estimate.