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6.
带溶质吸附的混溶驱动问题的Galerkin方法
程爱杰
计算数学
1999, 21 (1):
45-58.
DOI: 10.12286/jssx.1999.1.45
A priori error estimates for Galerkin method for numerical approximation ofthe coupled quasilinear system for c = c(x, t), p = p(x, t), cr = c.(x, t) given byfor x E fl,t E (O,T] are considered. Equations of this type arise in model forthe miscible displacement of one compressible fiuid by another with adsorption ofor orsolute in a porous medium. The cofficient D, which is a function of x, c, X -reflects moleculer diffusion and dispersion. Colltinuous-time Galerkin procedureis analysed. A new technique is illtroduced to establish the evolution inequlity oferror. The optimal error estimates in Lco(J; H1(Ω)) are presented.
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