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Numerical analysis for a seawater intrusion problem in a confined aquifer

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  • Abudawia, A.
  • Rosier, C.

Abstract

We simulate a diffuse interface model issuing from a seawater intrusion problem in a confined aquifer. We first use a P1 finite element method for which we establish error estimates for any solution sufficiently regular. We propose a finite volume method and we compare the results given by these two methods.

Suggested Citation

  • Abudawia, A. & Rosier, C., 2015. "Numerical analysis for a seawater intrusion problem in a confined aquifer," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 118(C), pages 2-16.
    • Handle: RePEc:eee:matcom:v:118:y:2015:i:c:p:2-16
    DOI: 10.1016/j.matcom.2014.11.016
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    References listed on IDEAS

    as
    1. Tber, Moulay Hicham & El Alaoui Talibi, Mohamed & Ouazar, Driss, 2008. "Parameters identification in a seawater intrusion model using adjoint sensitive method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(2), pages 301-312.
    2. Najib, Khalid & Rosier, Carole, 2011. "On the global existence for a degenerate elliptic–parabolic seawater intrusion problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(10), pages 2282-2295.
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    1. Aya Mourad & Carole Rosier, 2019. "A Nonlinear Optimization Method Applied to the Hydraulic Conductivity Identification in Unconfined Aquifers," Journal of Optimization Theory and Applications, Springer, vol. 183(2), pages 705-730, November.

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