Abstract
Numerical simulation and analysis of seawater intrusion is the mathematical basis for modern environmental science. Its mathematical model is the nonlinear coupled system of partial differential equations with initial-boudary problems. For a generic case of a three-dimensional bounded region, the modified method of upwind with finite difference fractional steps procedure is put forward. Optimal order estimates in L 2 norm are derived for the error in the approximation solution. The present method has been successfully used in predicting the consequences of seawater intrusion and protection projects.
* Supported by the Major State Basic Research Development Program of China (Grant No. G19990328), National Tackling Key Problems Program (Grant No. 2002020094), National Natural Science Foundation of China (Grant Nos. 10271066, 10372052) and the Doctorate Foundation of the Ministry of Education of China (Grant No. 20030422047)
Notes
* Supported by the Major State Basic Research Development Program of China (Grant No. G19990328), National Tackling Key Problems Program (Grant No. 2002020094), National Natural Science Foundation of China (Grant Nos. 10271066, 10372052) and the Doctorate Foundation of the Ministry of Education of China (Grant No. 20030422047)