摘要
多孔介质中两相不可压缩不易混溶渗流问题是非线性偏微分方程的耦合系统,其中压力方程是椭圆的用配置法逼近,而饱和度方程是对流占优的抛物方程,用特征配置法来逼近,并且证明了数值解的存在唯一性,最后得到了最优的误差估计.
In this article, the collocation scheme is used to approximate the pressure equation and another characteristics collocation scheme to treat concentration equation. Existence and uniqueness of solutions of the algorithm are proved. Optimal order error estimate is demonstrated.
出处
《应用数学》
CSCD
北大核心
2006年第1期195-204,共10页
Mathematica Applicata
基金
NNSFofChina(10441005)andResearchFundforDoctoralProgramofHighEducationbyChinaStateEducationMinistry
关键词
不可压缩
不易混溶
特征线
配置法
Incompressible
Immiscible
Characteristics line
Collocation scheme
