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

Helena Zarin

doi:10.1016/j.aml.2014.06.013

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

Helena Zarin

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	27-32
Number of pages	6
Journal	Applied Mathematics Letters
Volume	38
DOIs	https://doi.org/10.1016/j.aml.2014.06.013
State	Published - Dec 2014
Externally published	Yes

Bibliographical note

Funding Information:
The author is grateful to the anonymous referee for the helpful comments and suggestions. This research is supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia under grant 174030 .

Keywords

Discontinuous Galerkin finite element method
Layer-adapted mesh
Singularly perturbed delay differential equation

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abstract = "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.",

keywords = "Discontinuous Galerkin finite element method, Layer-adapted mesh, Singularly perturbed delay differential equation",

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N1 - Funding Information: The author is grateful to the anonymous referee for the helpful comments and suggestions. This research is supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia under grant 174030 .

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N2 - 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.

AB - 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.

KW - Discontinuous Galerkin finite element method

KW - Layer-adapted mesh

KW - Singularly perturbed delay differential equation

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JF - Applied Mathematics Letters

ER -

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

Abstract

Bibliographical note

Keywords

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