摘要
In this paper,we construct semi-discrete two-grid finite element schemes and full-discrete two-grid finite element schemes for the two-dimensional timedependent Schrodinger equation.The semi-discrete schemes are proved to be convergent with an optimal convergence order and the full-discrete schemes,verified by a numerical example,work well and are more efficient than the standard finite element method.
基金
This work is supported by National Science Foundation of China(10971059)
Young Scientists Foundation of the National Science Foundation of China(11101136)
Hunan Provincial National Science Foundation of China(09JJ3007)
Hunan Provincial Education Department Scientific Research Foundation of China(11C0411).
