A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem

被引：0
|
作者：
Helena Zarin
Hans-Görg Roos
Ljiljana Teofanov
机构：
[1] University of Novi Sad,Department of Mathematics and Informatics, Faculty of Sciences
[2] Technical University of Dresden,Institute of Numerical Mathematics
[3] University of Novi Sad,Department for Fundamental Disciplines, Faculty of Technical Sciences
来源：
Computational and Applied Mathematics | 2018年 / 37卷
关键词：
Singularly perturbed differential equation; Third-order boundary value problem; Interior penalty finite element method; Layer-adapted mesh; 65L11; 65L20; 65L60; 65L70;
D O I：
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学科分类号：
摘要：
We propose a continuous interior penalty finite element method designed for a third-order singularly perturbed problem. Using higher order polynomials on Shishkin-type layer-adapted meshes, a robust convergence has been proved in the corresponding energy norm. Moreover, we show numerical experiments which support our theoretical findings.
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页码：175 / 190
页数：15
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