摘要
有界区域上多孔介质中可压缩可混溶驱动问题由两个非线性抛物型方程耦合而成:压力方程和饱和度方程均是抛物型方程.运用有限体积元法对两个方程进行数值分析,给出了全离散有限体积元格式,并通过详细的理论分析,得到了近似解与原问题真解的最优H1模误差估计.
Miscible compressible displacement in porous media is modelled by a nonlinear coupled system of two parabolic equations:the pressure equation and the concentration equation.For these two equations, the fully discrete schemes are formulated by using finite volume element method.By detailed theoretical analyses,optimal order H^1-error estimates are obtained between the exact solution of original problem and the solution of finite volume element schemes.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2005年第2期161-169,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家重点基础研究专项经费(1999032803)
国家自然科学基金(10372052)
关键词
可压缩可混溶驱动问题
有限体积元法
误差估计
miscible compressible displacement
finite volume element method
error estimate
