Geodesic
A characteristic splitting mixed finite element method for three-dimensional saltwater intrusion problem
Zhang, Jiansong1 ; Zhu, Jiang2 ; Yang, Danping3 ; Guo, Hui4
1 Department of Applied Mathematics, China University of Petroleum, Qingdao 266580, China
2 Laboratorio Nacional de Computacao Cientica, MCTI, Avenida Getulio Vargas 333, 25651-075 Petropolis, RJ, Brazil
3 Department of Mathematics, East China Normal University, Shanghai 200062, China
4 Department of Computational Mathematics, China University of Petroleum, Qingdao 266580, China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 11, p. 5806-5820.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.009.11.09
Classification : 65M60, 65M25, 65M12, 65M15, 35K55, 76M10, 76S05
Keywords: Method of characteristics, mixed finite element, splitting system, saltwater intrusion problem.

Zhang, Jiansong 1 ; Zhu, Jiang 2 ; Yang, Danping 3 ; Guo, Hui 4

1 Department of Applied Mathematics, China University of Petroleum, Qingdao 266580, China
2 Laboratorio Nacional de Computacao Cientica, MCTI, Avenida Getulio Vargas 333, 25651-075 Petropolis, RJ, Brazil
3 Department of Mathematics, East China Normal University, Shanghai 200062, China
4 Department of Computational Mathematics, China University of Petroleum, Qingdao 266580, China 
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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 its applications, Tome 9 (2016) no. 11, p. 5806-5820. doi : 10.22436/jnsa.009.11.09. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.11.09/

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