具有混合边界的地下水污染问题数学模型的混合元方法

A MIXED FINITE ELEMENT METHOD FOR THE MATHEMATICAL MODEL FOR THE PROBLEM OF THE POLLUTION IN GROUNDWATER WITH MIXED BOUNDARY

讨论了具有混合边界的地下水污染问题数学模型的数值方法 ,对地下水水头方程采用混合元方法 ,对污染质浓度方程采用标准Galerkin有限元方法 ,在适当条件下 ,证明了半离散有限元格式具有最优L2 -模误差估计 .

The numerical methods for the mathematical model for the problem of the pollution in groundwater with mixed boundary are considered.A mixed finite element method is adopted for the pressure equation,the concentration of the contimination is approximated by a standard Galerkin method,Optimal error estimates in L 2 norm are obtained for the continuous time schemes.