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

Helena Zarin, Hans Görg Roos, Ljiljana Teofanov

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)175-190
Number of pages16
JournalComputational and Applied Mathematics
Volume37
Issue number1
DOIs
StatePublished - Mar 1 2018
Externally publishedYes

Bibliographical note

Funding Information:
The work of H. Zarin and the Lj. Teofanov was supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia under Grant 174030.

Keywords

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

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