On the global existence for a degenerate elliptic-parabolic seawater intrusion problem

被引：16
|
作者：
Najib, Khalid [1 ]
Rosier, Carole [2 ,3 ,4 ]
机构：
[1] Ecole Natl Ind Minerale, Rabat, Morocco
[2] Univ Lille Nord France, F-59000 Lille, France
[3] ULCO, LMPA J Liouville, F-62228 Calais, France
[4] CNRS FR 2956, Paris, France
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2011年 / 81卷 / 10期
关键词：
Degenerate elliptic parabolic system; Seawater intrusion problem; Finite element method; FreeFem;
D O I：
10.1016/j.matcom.2010.12.026
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We studied a sharp interface model issuing from a seawater intrusion problem in a confined aquifer. This model consists in a coupled system of an elliptic and a de-generate parabolic equation. The global in time existence is obtained in using Schauder theorem combined with parabolic regularization. We establish a priori estimations for the PI finite element method applied to this problem. Finally, we propose numerical simulations in easy examples. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：2282 / 2295
页数：14
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