A convection-diffusion problem with a large shift in space is considered. Numerical analysis of high order finite element methods on layer-adapted Duran type meshes, as well as on coarser Duran type meshes in places where weak layers appear, is provided. The theoretical results are confirmed by numerical experiments.
翻译:考虑了一个具有大位移的对流扩散问题。我们提供了关于 Duran 网格高阶有限元方法的数值分析,以及在弱层出现的地方使用更粗的 Duran 类型网格的分析。通过数值实验,证实了理论结果的正确性。