摘要
多孔介质中可压缩可混溶驱动问题是非线性抛物系统,压力方程和饱和度方程用有限元配置方法来求解,证明了配置解的存在唯一性,最后得到了最优阶的误差估计．
A nonlinear parabolic system is derived to describe compressible miscible displacement in a porous medium. The concentration and the pressure are treated by the finite element collocation method. And the existence and uniqueness of the numerical solution are proved. Optimal order estimates is derived for the error in the approximate solutions.
出处
《应用数学学报》
CSCD
北大核心
2006年第2期234-246,共13页
Acta Mathematicae Applicatae Sinica
基金
国家重点基础研究专项经费资助项目(G1999032803)教育部博士点基金资助项目(1999042215)
关键词
可压缩
可混溶
配置法
误差估计
compressible miscible displacement
collocation scheme
error estimate
