CHARACTERISTIC-GALERKIN METHODS FOR CONTAMINANT TRANSPORT WITH NONEQUILIBRIUM ADSORPTION-KINETICS

被引:34
作者
DAWSON, CN [1 ]
VANDUIJN, CJ [1 ]
WHEELER, MF [1 ]
机构
[1] DELFT UNIV TECHNOL, DEPT MATH, DELFT, NETHERLANDS
关键词
METHOD OF CHARACTERISTICS; GALERKIN FINITE ELEMENTS; CONTAMINANT TRANSPORT;
D O I
10.1137/0731052
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A procedure based on combining the method of characteristics with a Galerkin finite element method is analyzed for approximating reactive transport in groundwater. In particular, equations modeling contaminant transport with nonlinear, nonequilibrium adsorption reactions are considered. This phenomenon gives rise to non-Lipschitz but monotone nonlinearities which complicate the analysis. A physical and mathematical description of the problem under consideration is given, then the numerical method is described and a priori error estimates are derived.
引用
收藏
页码:982 / 999
页数:18
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