A finite element method for a seawater intrusion problem in unconfined aquifers

作者：Abudawia A; Mourad A; Rodrigues J H; Rosier C^*

来源：Applied Numerical Mathematics, 2018, 127: 349-369.

DOI：10.1016/j.apnum.2018.01.013

• Seawater intrusion problem
• Finite element method
• Finite volume method
• Numerical analysis

We simulate a sharp-diffuse interface model issuing from a seawater intrusion problem in unconfined aquifer. We study a semi-implicite in time scheme for a P-k, (k >= 1) Lagrange finite element approximation. Using the specific regularity of the exact solution, we state that the scheme is of order 1 in time and k in space. We propose a finite volume method for a regular mesh and we compare the results given by these two approximations.

• 出版日期2018-5