A characteristic splitting mixed finite element method for three-dimensional saltwater intrusion problem


Authors

Jiansong Zhang - Department of Applied Mathematics, China University of Petroleum, Qingdao 266580, China. Jiang Zhu - Laboratorio Nacional de Computacao Cientica, MCTI, Avenida Getulio Vargas 333, 25651-075 Petropolis, RJ, Brazil. Danping Yang - Department of Mathematics, East China Normal University, Shanghai 200062, China. Hui Guo - Department of Computational Mathematics, China University of Petroleum, Qingdao 266580, China.


Abstract

A combined method is developed for solving saltwater intrusion problem. A splitting positive definite mixed element method is used to solve the parabolic-type water head equation and a characteristic finite element method is used to solve the convection-diffusion type concentration equation. The convergence of this method is considered and the optimal \(L^2\)-norm error estimate is also derived.


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ISRP Style

Jiansong Zhang, Jiang Zhu, Danping Yang, Hui Guo, A characteristic splitting mixed finite element method for three-dimensional saltwater intrusion problem, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 11, 5806--5820

AMA Style

Zhang Jiansong, Zhu Jiang, Yang Danping, Guo Hui, A characteristic splitting mixed finite element method for three-dimensional saltwater intrusion problem. J. Nonlinear Sci. Appl. (2016); 9(11):5806--5820

Chicago/Turabian Style

Zhang, Jiansong, Zhu, Jiang, Yang, Danping, Guo, Hui. "A characteristic splitting mixed finite element method for three-dimensional saltwater intrusion problem." Journal of Nonlinear Sciences and Applications, 9, no. 11 (2016): 5806--5820


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