论文标题
对对流扩散问题的数值分析，空间变化
Numerical analysis of a singularly perturbed convection diffusion problem with shift in space
论文作者
论文摘要
我们考虑了一个奇特的扰动对流扩散问题，此外还有一个轮班术语。我们使用渐近扩展和稳定性结果显示溶液分解。基于此，我们提供了对层改编网格的高阶有限元方法的数值分析。我们还采用了一个新的想法，即在出现薄层的地方使用更粗的网格。数值实验证实了我们的理论结果。
We consider a singularly perturbed convection-diffusion problem that has in addition a shift term. We show a solution decomposition using asymptotic expansions and a stability result. Based upon this we provide a numerical analysis of high order finite element method on layer adapted meshes. We also apply a new idea of using a coarser mesh in places where weak layers appear. Numerical experiments confirm our theoretical results.
