Error estimation in a balanced norm for a convection-diffusion problem with two different boundary layers

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Contributors

Abstract

The -weighted energy norm is the natural norm for singularly perturbed convection-diffusion problems with exponential layers. But, this norm is too weak to recognise features of characteristic layers. We present an error analysis in a differently weighted energy norm-a balanced norm-that overcomes this drawback.

Details

Original languageEnglish
Pages (from-to)423-440
Number of pages18
JournalCalcolo
Volume51
Issue number3
Publication statusPublished - Sept 2014
Peer-reviewedYes

External IDs

Scopus 84968745020
ORCID /0000-0002-2458-1597/work/142239707

Keywords

Keywords

  • Singular perturbation, Characteristic and exponential layers, Shishkin mesh, SDFEM, Balanced norm, CORNER SINGULARITIES, STABILITY, ACCURACY