On discontinuous Galerkin finite element method for singularly perturbed delay differential equations

被引：37

作者：

Zarin, Helena ^{[1
]}

机构：

[1] Univ Novi Sad, Fac Sci, Dept Math & Informat, Novi Sad 21000, Serbia

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 38卷

关键词：

Singularly perturbed delay differential equation; Discontinuous Galerkin finite element method; Layer-adapted mesh; BOUNDARY-VALUE-PROBLEMS; SMALL SHIFTS; OSCILLATIONS;

D O I：

10.1016/j.aml.2014.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonsymmetric discontinuous Galerkin FEM with interior penalties has been applied to one-dimensional singularly perturbed problem with a constant negative shift. Using higher order polynomials on Shishkin-type layer-adapted meshes, a robust convergence has been proved in the corresponding energy norm. Numerical experiments support theoretical findings. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：27 / 32

页数：6

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