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

被引：6

作者：

Zarin, Helena ^{[1
]}

Roos, Hans-Gorg ^{[2
]}

Teofanov, Ljiljana ^{[3
]}

机构：

[1] Univ Novi Sad, Dept Math & Informat, Fac Sci, Trg Dositeja Obradovica 4, Novi Sad 21000, Serbia

[2] Tech Univ Dresden, Inst Numer Math, D-01062 Dresden, Germany

[3] Univ Novi Sad, Dept Fundamental Disciplines, Fac Tech Sci, Trg Dositeja Obradovica 6, Novi Sad 21000, Serbia

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 01期

关键词：

Singularly perturbed differential equation; Third-order boundary value problem; Interior penalty finite element method; Layer-adapted mesh; MESH;

D O I：

10.1007/s40314-016-0339-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：175 / 190

页数：16

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