地下水污染问题的特征-混合元方法

CHARACTERISTIC MIXED FINITE ELEMENT METHODS FOR THE PROBLEM OF THE POLLUTION OF GROUNDWATER IN FISSURED POROUS MEDIUM

考虑裂缝—孔隙介质中地下水污染问题均匀化模型的周期性问题．对压力方程采用混合元方法，对浓度方程采用特征—有限元方法，对吸附浓度方程采用标准Ｇａｌｅｒｋｉｎ方法，证明了特征—混合元格式具有最优Ｌ２—模误差估计．

The numerical methods for the averaging model of the problem of the pollution of groundwater in fissured porous medium are considered.A mixed finite element method is adopted to give a direct approximation of the velocity,the concentration is approximated by a combination of a Galerkin finite element method and the method of characteristics and the absorption concentration is approximated by a standard Galerkin method.Optimal order error estimates in L 2 norm is obtained.