摘要
针对非定常对流占优扩散方程,我们采用非协调的Crouzeix-Raviart元逼近.基于Residual-FreeBubble方法思想,对时间项采用向后差分,提出了两种特殊的稳定化有限元格式;分析了与FDSD方法,TG方法的内在联系.最后,我们给出了一致的稳定性与误差分析.
In this paper, we derive two kinds of stabilized forms for the nonstationary convection- dominated diffusion equations based on the idea of residual-free bubble method, where the Crouzeix-Raviart element is employed, and an implicit backward Euler method is considered for the time approximation. We compare the two forms with FDSD method and TG method, and analysis the relationship between them. The stability and convergence are proved independent of the viscous coefficient.
出处
《计算数学》
CSCD
北大核心
2009年第4期363-378,共16页
Mathematica Numerica Sinica
基金
四川省科技攻关课题资助(05GG006-006-2)
