High-order finite element method on a Vulanovi?-Bakhvalov mesh for a singularly perturbed convection-diffusion problem

被引：3

作者：

Liu, Li -Bin ^{[1
]}

Xu, Lei ^{[1
]}

Zhang, Yong ^{[2
]}

机构：

[1] Nanning Normal Univ, Guangxi Key Lab Human machine Interact & Intellige, Nanning 530100, Peoples R China

[2] Chizhou Univ, Sch Big Data & Artificial Intelligence, Chizhou 247000, Anhui, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 136卷

关键词：

Singularly perturbed; Finite element method; Vulanovi?-Bakhvalov mesh; Uniform convergence;

D O I：

10.1016/j.aml.2022.108457

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A kth order (k >= 1) finite element method on a Vulanovic-Bakhvalov mesh is proposed for a singularly perturbed convection-diffusion problem. Some properties of the Vulanovic-Bakhvalov mesh are derived. Based on these estimations and a new Lagrange interpolation technique, an optimal order of uniform convergence with respect to the perturbation parameter is proved. Numerical results are provided to demonstrate the theoretical findings.(c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：7

共 11 条

[1] A singularly perturbed problem with two parameters on a Bakhvalov-type mesh [J].