J4 ›› 2011, Vol. 46 ›› Issue (12): 6-12.

• Articles • Previous Articles     Next Articles

A new streamline-diffusion mixed finite element method for compressible  miscible displacement problem in porous medium

ZHANG Jian-song1, NIU Hai-feng2   

  1. 1. School of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, Shandong, China;
    2. School of Mathematics, Shandong Universtiy, Jinan 250100, Shandong, China
  • Received:2010-09-25 Online:2011-12-20 Published:2011-12-24


A new streamline-diffusion mixed finite element procedure is constructed for solving compressible miscible displacement problem in porous medium. In this procedure, a splitting positive definite mixed element method, 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 symmetric and positive definite. The convergence of the procedure is studied and the corresponding error estimate is also given.

Key words: Streamline-diffusion; splitting positive definite mixed element; compressible miscible displacement; convergence analysis

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