Displacement of One Compressible Fluid by Another in a Porous Medium
Chun Chen · 2005
Micible displacement of one compressible fluid by another in a porous medium is modeled by a nonlinear parabolic system.Douglas introduced a finite element procedure [1],and derived optimal L~2 estimates for the errors in approximate solutions under the comdition that dispersion has no consistence with the Darcy velocity of the fluid(D=D(x,y).In this article a method of projecting a projection method is used to obtain the optimal L~2 estimates for the errors of comcentration,considering that dispersion is consistent with the Darcy velocity(D=D(u)).