Convergence of local projection stabilisation finite element methods for convection-diffusion problems on layer-adapted meshes

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Abstract

We present a minor modification of of the stabilisation term in the local projection stabilisation (LPS) method for stabilising singularly perturbed problems on layer-adapted meshes, such that the error can be estimated uniformly and in optimal order in the associated LPS-norm, which is stronger than the standard energy norm. Numerical results confirm the theoretical findings.

Details

OriginalspracheEnglisch
Seiten (von - bis)771-786
Seitenumfang16
FachzeitschriftBIT Numerical Mathematics
Jahrgang57
Ausgabenummer3
PublikationsstatusVeröffentlicht - Sept. 2017
Peer-Review-StatusJa

Externe IDs

Scopus 85014093241
ORCID /0000-0002-2458-1597/work/142239697

Schlagworte

Schlagwörter

  • Singular perturbation, Local projection, Boundary layers, Layer-adapted meshes