一类可压缩渗流问题的全离散Galerkin有限元方法  

TIME-STEPPING GALERKIN METHOD FOR COMPRESSIBLE MISCIBLE DISPLACEMENT PROBLEMS IN POROUS MEDIA

作　　者：孙承杰[1] 

机构地区：[1]山东大学

出　　处：《高等学校计算数学学报》1993年第4期353-359,共7页Numerical Mathematics A Journal of Chinese Universities

摘　　要：1 引言 我们考虑多孔介质中一种可压缩流体由于另一种粘性流体的注入而引起的混溶流动模型问题是由如下一组抛物型方程刻划的:Efficient procedures for time-stepping Galerkin methods for approximating the solu-tion of a coupled system for c = c(x,t), p ?p(x,t) and Cr= C (x,t), of the form:where This is a possible model system for describing the miscible displacement of one compressible fluid by another in a porous medium. Standard Galerkin methods are used to treat the time-stepping procedures. We obtain global H1 error estimates of optimal order.

关 键 词：可压缩流体 渗流 有限元 加还金法 

分 类 号：O357.3[理学—流体力学]