摘要
本文讨论二维非线性对流扩散方程的一类迎风有限元格式 ,其中非线性对流项用三角形网格对偶网格上的有限体积型方法逼近 ,非线性扩散项用伽辽金法逼近 .
In this paper, a kind of upwind finite element scheme is studied for two-dimensional nonlinear convection diffusion equation. Nonlinear convection term approximated by finite volume type method considered over a mesh dual to the triangular grid, whereas the nonlinear diffusion term approximated by Galerkin method. Under some assumption the discrete maximum principle and the convergence of the approximated solution are proved.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
2002年第2期51-55,71,共6页
Acta Scientiarum Naturalium Universitatis Nankaiensis
基金
Natural Foundation of China grant1 0 1 71 0 5 2
Foundation of National Key Laboratory of Compu-tational Physics
关键词
对流扩散
最大值原理
迎风格式
convection-diffusion
maximum principle
upwind scheme
