渗流驱动问题的两层网格算法
The Two-Grid Algorithm of the Miscible Displacement Problem

综述了渗流驱动问题的两层网格算法 介绍了不可压缩的渗流驱动问题的特征有限元、 特征混合有限元和特征扩张混合有限元两层网格算法; 讨论可压缩的渗流驱动问题的特征有限元两层网格算法; 通过数值例子验证了两层网格算法的有效性; 讨论了渗流驱动问题的两层网格算法进一步的研究的方向.
： Two-grid algorithm of miscible displacement problem is reviewed. Firstly, the characteristic finite element method, the characteristic mixed finite element method and the characteristic expansion mixed finite element two-grid algorithm for the incompressible miscible displacement problem are presented. Then, the characteristic finite element two-grid algorithm for the compressible miscible displacement problem is discussed. Numerical examples are given to illustrate the effectiveness of the two-grid algorithm. Finally, the direction of further research on the two-grid algorithm for miscible displacement problem is discussed