Mixed finite element method of a seawater intrusion problem in confined aquifers

Ibtissam Medarhri; Mohamed Farhloul; Khalid Najib; Soumia Slimani; Abdelmalek Zine

doi:10.1051/e3sconf/202131405004

All issues

Volume 314 (2021)

E3S Web Conf., 314 (2021) 05004

References

Open Access

Issue		E3S Web Conf. Volume 314, 2021 The 6^th edition of the International Conference on GIS and Applied Computing for Water Resources (WMAD21)


Article Number		05004
Number of page(s)		6
Section		Hydrology, Hydrogeology and Hydro-geophysics
DOI		https://doi.org/10.1051/e3sconf/202131405004
Published online		26 October 2021

Bear, J.: Dynamics of Fluids in Porous Media. American Elsevier (1972). [Google Scholar]
Brezzi, F., Fortin, M.: Mixed and Hybrid Finite Element Methods. Springer (1991). [Google Scholar]
Choquet, C., Diedhiou, M., Rosier, C.: Derivation of a sharp-diffuse interfaces model for seawater intrusion in a free aquifer. Numerical simulations. Mathematics and Computers in Simulation 76, 138–158 (2016). [Google Scholar]
Choquet, C., Li, J., Rosier, C.: Global existence for seawater intrusion models: Comparison Between sharp interface and sharp-diffuse interface approaches. Electronic Journal of differential Equations pp. 1–27 (2015) [Google Scholar]
Choquet, C., Li, J., Rosier, C.: Uniqueness for cross-diffusion systems issuing from seawater intrusion problems. Electronic Journal of Differential Equations pp. 1–22 (2017) [Google Scholar]
Najib, K., Rosier, C.: On the global existence for a degenerate elliptic-parabolic seawater intrusion problem. Mathematics and Computers in Simulation 81, 2282–2295 (2011). [Google Scholar]
Slimani, S. Farhloul, M. Medarhri, I. Najib, K. Zine, A.: Mixed formulation of a stationary seawater intrusion problem in confined aquifers. (2021). Working paper or preprint [Google Scholar]

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[1] Bear, J.: Dynamics of Fluids in Porous Media. American Elsevier (1972). [Google Scholar]

[2] Brezzi, F., Fortin, M.: Mixed and Hybrid Finite Element Methods. Springer (1991). [Google Scholar]

[3] Choquet, C., Diedhiou, M., Rosier, C.: Derivation of a sharp-diffuse interfaces model for seawater intrusion in a free aquifer. Numerical simulations. Mathematics and Computers in Simulation 76, 138–158 (2016). [Google Scholar]

[4] Choquet, C., Li, J., Rosier, C.: Global existence for seawater intrusion models: Comparison Between sharp interface and sharp-diffuse interface approaches. Electronic Journal of differential Equations pp. 1–27 (2015) [Google Scholar]

[5] Choquet, C., Li, J., Rosier, C.: Uniqueness for cross-diffusion systems issuing from seawater intrusion problems. Electronic Journal of Differential Equations pp. 1–22 (2017) [Google Scholar]

[6] Najib, K., Rosier, C.: On the global existence for a degenerate elliptic-parabolic seawater intrusion problem. Mathematics and Computers in Simulation 81, 2282–2295 (2011). [Google Scholar]

[7] Slimani, S. Farhloul, M. Medarhri, I. Najib, K. Zine, A.: Mixed formulation of a stationary seawater intrusion problem in confined aquifers. (2021). Working paper or preprint [Google Scholar]