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

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: seawater intrusion; finite element; intrusion problem; problem unconfined

Journal Title: Applied Numerical Mathematics
Year Published: 2018

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