Superconvergence analysis of a finite element method for a two-parameter singularly perturbed problem

Ljiljana Teofanov, Helena Zarin

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We consider a singularly perturbed elliptic problem with two small independent parameters and its discretization by a finite element method using piecewise bilinear elements on a layer-adapted mesh. We analyze superconvergence property of the method as well as a postprocessing technique which yields more accurate discrete solution. Numerical tests confirm our theoretical results.

Original languageEnglish (US)
Pages (from-to)743-765
Number of pages23
JournalBIT Numerical Mathematics
Volume49
Issue number4
DOIs
StatePublished - Nov 2009

Bibliographical note

Funding Information:
This work was supported by the Ministry of Science and Technological Development of the Republic of Serbia under grant 144006.

Keywords

  • Finite element method
  • Layer-adapted mesh
  • Postprocessing
  • Singularly perturbed problems
  • Superconvergence
  • Two small parameters

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