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

Helena Zarin

Research output: Contribution to journalArticlepeer-review

16 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 languageEnglish (US)
Pages (from-to)27-32
Number of pages6
JournalApplied Mathematics Letters
Volume38
DOIs
StatePublished - Dec 2014
Externally publishedYes

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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