Analysis of a Streamline-Diffusion Finite Element Method on Bakhvalov-Shishkin Mesh for Singularly Perturbed Problem

作者：Yin, Yunhui^*; Zhu, Peng; Wang, Bin

来源：Numerical Mathematics: Theory, Methods and Applications , 2017, 10(1): 44-64.

DOI：10.4208/nmtma.2017.y13026

• singularly perturbed problem
• Streamline-Diffusion finite element method
• Bakhvalov-Shishkin mesh
• error estimate

In this paper, a bilinear Streamline-Diffusion finite element method on Bakhvalov-Shishkin mesh for singularly perturbed convection - diffusion problem is analyzed. The method is shown to be convergent uniformly in the perturbation parameter is an element of provided only that is an element of <= N-1. An O(N-2 (lnN)(1/2)) convergent rate in a discrete streamline-diffusion norm is established under certain regularity assumptions. Finally, through numerical experiments, we verified the theoretical results.

• 出版日期2017-2
• 单位嘉兴学院