On graded meshes for a two-parameter singularly perturbed problem

Mirjana Brdar, Helena Zarin

Research output: Contribution to journalReview articlepeer-review

7 Scopus citations

Abstract

A one-dimensional reaction-diffusion-convection problem is numerically solved by a finite element method on two layer-adapted meshes, Duran-type mesh and Duran-Shishkin-type mesh, both defined by recursive formulae. Robust error estimates in the energy norm are proved. Numerical results are given to illustrate the parameter-uniform convergence of numerical approximations.

Original languageEnglish (US)
Pages (from-to)97-107
Number of pages11
JournalApplied Mathematics and Computation
Volume282
DOIs
StatePublished - May 5 2016
Externally publishedYes

Bibliographical note

Funding Information:
The work has been supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia , Projects 174030 and III44006 . The authors would like to thank the anonymous reviewers for their valuable comments and suggestions which improved the quality of the paper.

Keywords

  • Galerkin finite element method
  • Graded meshes
  • Singularly perturbed problem
  • Two small parameters

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