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

Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung

Beitragende

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

OriginalspracheEnglisch
Seiten (von - bis)423-440
Seitenumfang18
FachzeitschriftCalcolo
Jahrgang51
Ausgabenummer3
PublikationsstatusVeröffentlicht - Sept. 2014
Peer-Review-StatusJa

Externe IDs

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

Schlagworte

Schlagwörter

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