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

作者：Zhang, Jiansong^*; Zhu, Jiang; Yang, Danping; Guo, Hui

来源：Journal of Nonlinear Sciences and Applications, 2016, 9(11): 5806-5820.

DOI：10.22436/jnsa.009.11.09

• Method of characteristics
• mixed finite element
• splitting system
• saltwater intrusion problem

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.

• 出版日期2016
• 单位华东师范大学; 中国石油大学（北京）