Exponentially graded mesh for a singularly perturbed problem with two small parameters

Helena Zarin

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

A one-dimensional singularly perturbed boundary value problem with two small perturbation parameters is numerically solved on an exponentially graded mesh. Using an h-version of the standard Galerkin method with higher order polynomials, we prove a robust convergence in the corresponding energy norm. Numerical experiments support theoretical findings.

Original languageEnglish (US)
Pages (from-to)233-242
Number of pages10
JournalApplied Numerical Mathematics
Volume120
DOIs
StatePublished - Oct 2017
Externally publishedYes

Bibliographical note

Funding Information:
Research of this author is supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia under grant 174030.

Publisher Copyright:
© 2017 IMACS

Keywords

  • Exponentially graded mesh
  • Galerkin finite element method
  • Singularly perturbed problem
  • Two small parameters

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