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A DISCONTINUOUS GALERKIN METHOD COMBINED WITH MIXED FINITE ELEMENT FOR SEAWATER INTRUSION PROBLEM

A DISCONTINUOUS GALERKIN METHOD COMBINED WITH MIXED FINITE ELEMENT FOR SEAWATER INTRUSION PROBLEM
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摘要 Seawater intrusion problem is considered in this paper.Its mathematical model is anonlinear coupled system of partial differential equations with initial boundary problem.It consistsof the water head equation and the salt concentration equation.A combined method is developedto approximate the water head equation by mixed finite element method and concentration equationby discontinuous Galerkin method.The scheme is continuous in time and optimal order estimates inH^1-norm and L^2-norm are derived for the errors.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2010年第4期830-845,共16页 系统科学与复杂性学报(英文版)
基金 supported by the National Natural Science Foundation of China under Grant No. 10771124
关键词 Discontinuous Galerkin method mixed finite element method seawater intrusion problem. 间断Galerkin方法 混合有限元方法 海水入浸 偏微分方程系统 元组 L2范数 非线性耦合 入侵问题
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