论文标题
针对特征性层的问题，对级别网格的fem和sdfem的超授权分析
Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers
论文作者
论文摘要
我们认为具有指数和特征边界层的奇异扰动对流扩散。该问题是通过在分级网格上使用双线性元素的FEM和SDFEM方法来解决的。对于FEM，我们证明了几乎均匀的融合和超级融合。渐变网格的使用允许SDFEM证明SD Norm中几乎均匀的Esimates，这对于Shishkin型网格来说是不可能的。
We consider a singularly perturbed convection-diffusion with exponential and characteristic boundary layers. The problem is numerically solved by the FEM and SDFEM method with bilinear elements on a graded mesh. For the FEM we prove almost uniform convergence and superconvergence. The use of graded mesh allows for the SDFEM to prove almost uniform esimates in the SD norm, which is not possible for Shishkin type meshes.
