摘要
讨论了对流扩散问题C rank-N ico lson差分流线扩散格式,利用插值后处理技术提高了特殊网格下该格式在双线性元空间解的精度,从而按Lα(L2(Ω))模达到最优.
In this paper, we consider the Crank-Nicolson Finite difference-streamline diffusion (FDSD) method with bilinear element for time-dependent linear convection dominated diffusion problem, optimal error estimate which has 2-order accuracy in time direction and 2-order in space variables are derived for FDSD scheme.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第10期234-242,共9页
Mathematics in Practice and Theory
基金
国家自然科学基金(10471103)
关键词
流线扩线法
高精度分析
对流占优
streamline diffusion method
high accuracy analysis
convection-dominated