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A discontinuous Galerkin method combined with mixed finite element for seawater intrusion problem

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Abstract

Seawater intrusion problem is considered in this paper. Its mathematical model is a nonlinear coupled system of partial differential equations with initial boundary problem. It consists of the water head equation and the salt concentration equation. A combined method is developed to approximate the water head equation by mixed finite element method and concentration equation by discontinuous Galerkin method. The scheme is continuous in time and optimal order estimates in H 1-norm and L 2-norm are derived for the errors.

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Authors and Affiliations

  1. School of Mathematics, Shandong University, Jinan, 250100, China

    Ximeng Lian & Hongxing Rui

  2. School of Mathematics and Computer Science, Ningxia University, Yinchuan, 750021, China

    Hongxing Rui

Authors
  1. Ximeng Lian
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  2. Hongxing Rui
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Correspondence to Ximeng Lian.

Additional information

This research is supported by the National Natural Science Foundation of China under Grant No. 10771124.

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Lian, X., Rui, H. A discontinuous Galerkin method combined with mixed finite element for seawater intrusion problem. J Syst Sci Complex 23, 830–845 (2010). https://doi.org/10.1007/s11424-010-8176-8

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  • DOI: https://doi.org/10.1007/s11424-010-8176-8

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