在本文中,我们考虑对流占优扩散问题流线扩散双线性有限元方法.原先的文献在ε≤h^2的条件下,得到了L^2-模最优误差估计,而本文则在ε≤h的条件下得到了相同估计。
In this paper, we consider the streamline diffusion finite element method (SD- FEM) with bilinear element for convection dominated diffusion problems. In the previous literature, under the condition of ε≤h^2, the optimal error estimate in L^2 is derived for SDFEM scheme. However, in this paper, we'll improve the condition ε≤h^2 as ε≤h and use a different method to prove the optimal error estimate in L^2 for SDFEM scheme.