中文摘要：

提出了一类新型流线-扩散混合有限元方法求解多孔介质中可压缩混溶驱动问题。引入分裂正定混合有限元方法求解抛物型的压力方程,混合有限元方程组是对称正定的,并且流函数方程不依赖于压力方程。采用标准的流线-扩散法求解对流扩散型的饱和度方程,分析了算法的收敛性并给出了相应的误差估计。

英文摘要：

A new streamline-diffusion mixed finite element procedure is constructed for solving a compressible miscible displacement problem in porous medium.In this procedure,a splitting positive definite mixed element method is used,the parabolic-type pressure equation.Using a streamline-diffusion finite element method,the convection-diffusion type concentration equation is solved.The coefficient matrix of the mixed system is symmetrical and positively definite.The convergence of the procedure is studied and the corresponding error estimate is also given.