SDFEM with non-standard higher-order finite elements for a convection-diffusion problem with characteristic boundary layers

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • University of Limerick

Abstract

Considering a singularly perturbed problem with exponential and characteristic layers, we show convergence for non-standard higher-order finite elements using the streamline diffusion finite element method (SDFEM). Moreover, for the standard higher-order space supercloseness of the numerical solution w.r.t. an interpolation of the exact solution in the streamline diffusion norm of order p+1/2 is proved.

Details

Original languageEnglish
Pages (from-to)631-651
Number of pages21
JournalBIT Numerical Mathematics
Volume51
Issue number3
Publication statusPublished - Sept 2011
Peer-reviewedYes

External IDs

Scopus 80052298356
ORCID /0000-0002-2458-1597/work/142239713

Keywords

Keywords

  • Singular perturbation, Characteristic layers, Exponential layers, Shishkin mesh, SDFEM, Higher order, SHISHKIN MESH, CORNER SINGULARITIES, SUPERCONVERGENCE