摘要
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 parameterǫprovided only that ∈≤N^(−1).An O(N^(−2)(lnN)^(1/2))convergent rate in a discrete streamline-diffusion norm is established under certain regularity assump-tions.Finally,through numerical experiments,we verified the theoretical results.
基金
supported by Zhejiang Provincial Natural Science Foundation of China(Grant No.LY15A010018)
Zhejiang Provincial Department of Education(Grant No.Y201431793).