具有混合边界条件的地下水污染模型的混合元——特征有限元方法

M_CFE Methods to the Contamintive Problem in Groundwater Quality’s Model with Mixed Boundary Conditi

  • 摘要: 本文对具有混合边界条件的地下水污染模型问题提出了混合元—特征有限元全离散格式,即对水量方程采用混合元格式,而对浓度方程沿特征方向有限元离散。利用椭圆投影及其误差估计,建立了计算格式在H模意义下的最优误差估计;数值算例及结果分析验证了该方法的正确有效性

     

    Abstract: A nonlinear coupled system with mixed boundary conditions is derived to describe groundwater quality contamination.The numerical method is introduced.Pressure equation is discreted by MFE while the concentration equation is discreted by FEM coupled with the method of characteristics.The optimal error estimates in H's is proved. Finally,a numerical example is also presented.

     

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