Supercloseness analysis of the nonsymmetric interior penalty Galerkin method for a singularly perturbed problem on Bakhvalov-type mesh

被引：2

作者：

Ma, Xiaoqi ^{[1
]}

Zhang, Jin ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 144卷

基金：

中国国家自然科学基金;

关键词：

Convection diffusion; Singular perturbation; NIPG method; Bakhvalov-type mesh; Supercloseness; CONVECTION-DIFFUSION PROBLEMS; FINITE-ELEMENT-METHOD;

D O I：

10.1016/j.aml.2023.108701

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a singularly perturbed convection diffusion problem, we study the super-closeness of the nonsymmetric interior penalty Galerkin (NIPG) method on a Bakhvalov-type mesh. In this process, a new composite interpolation is designed, which consists of Gaul3 Radau projection outside the layer and Gaul3 Lobatto projection inside the layer. Then by choosing the penalty parameters at different mesh points, we derive the supercloseness of k + 21th order (k >= 1) in an energy norm.(c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：7

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