Considering a singularly perturbed convection-diffusion problem, we present an analysis for a superconvergence result using pointwise interpolation of Gau{\ss}-Lobatto type for higher-order streamline diffusion FEM. We show a useful connection between two different types of interpolation, namely a vertex-edge-cell interpolant and a pointwise interpolant. Moreover, different postprocessing operators are analysed and applied to model problems.

翻译：考虑一个奇异摄动的对流-扩散问题，我们针对高阶流线扩散有限元方法中基于Gau{\ss}-Lobatto型逐点插值的超收敛结果进行了分析。我们揭示了两种不同类型插值（即顶点-边-单元插值与逐点插值）之间的有用联系。此外，我们还分析并应用了不同的后处理算子于模型问题中。