在初始网格剖分上采取分段线性函数空间作为有限体积元方法的试探函数空间,在相应的对偶网格上采取分段常数函数空间作为其检验函数空间,对一维不可压缩两.相渗流驱动问题提出了全离散有限体积元方法,并得到L^2-模误差估计。
A fally discrete finite volume element method is given for one-dimensional two-phase incompressible flow in porous media. On the original grid dissection, piecewise linear polynomial function space is used as the trial function space in this method. And on the dual grid, piecewise constant function space is used as the test function space. Finally an error estimate in the L^2-norm is proved.