A note on iterative methods for solving singularly perturbed problems using non-monotone methods on Shishkin meshes

Ali R. Ansari, Alan F. Hegarty

Research output: Contribution to journalArticlepeer-review

Abstract

Non-monotone methods with Shishkin meshes are employed in obtaining finite difference schemes for solving a linear two-dimensional steady state convection-diffusion problem. Preconditioners are used that significantly reduce the number of iterations of the linear solver. Computational results for a Galerkin method are presented which indicate parameter robust, super-linear orders of convergence.

Original languageEnglish
Pages (from-to)3673-3687
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume192
Issue number33-34
DOIs
Publication statusPublished - 15 Aug 2003

Keywords

  • Iterative solvers
  • Non-monotone methods
  • Preconditioning
  • Shishkin meshes

Fingerprint

Dive into the research topics of 'A note on iterative methods for solving singularly perturbed problems using non-monotone methods on Shishkin meshes'. Together they form a unique fingerprint.

Cite this