【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 .在某些假定下证明了离散最大值原理和近似解的收敛性更多还原

【Abstract】 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.更多还原