Superconvergence using pointwise interpolation in convection-diffusion problems

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

  • Technische Universität Dresden

Abstract

Considering a singularly perturbed convection-diffusion problem, we present an analysis for a superconvergence result using pointwise interpolation of Gauss-Lobatto type for higher-order streamline diffusion FEM. We show a useful connection between two different types of interpolation, namely a vertex-edge-cell interpolant and a pointwise interpolant. Moreover, different postprocessing operators are analysed and applied to model problems. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.

Details

OriginalspracheEnglisch
Seiten (von - bis)132-144
Seitenumfang13
FachzeitschriftApplied numerical mathematics
Jahrgang76
PublikationsstatusVeröffentlicht - Feb. 2014
Peer-Review-StatusJa

Externe IDs

Scopus 84888857921
ORCID /0000-0002-2458-1597/work/142239711

Schlagworte

Schlagwörter

  • Singular perturbation, Layer-adapted meshes, Superconvergence, Postprocessing, CORNER SINGULARITIES, BOUNDARY-LAYERS, CONVERGENCE