Singularly perturbed convection-diffusion problems with boundary and weak interior layers

P. A. Farrell, A. F. Hegarty, J. J.H. Miller, E. O'Riordan, G. I. Shishkin

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper a singularly perturbed convection-diffusion equation with a discontinuous source term is examined. Boundary and weak interior layers appear in the solution. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh. The method is shown to be uniformly convergent with respect to the singular perturbation parameter.

Original languageEnglish
Pages (from-to)133-151
Number of pages19
JournalJournal of Computational and Applied Mathematics
Volume166
Issue number1
DOIs
Publication statusPublished - 1 Apr 2004

Keywords

  • Convection-diffusion
  • Interior payer
  • Parameter-uniform
  • Singular perturbation

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