Convergence Phenomena of Q(p)-Elements for Convection-Diffusion Problems

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • TUD Dresden University of Technology

Abstract

We present a numerical study for singularly perturbed convectiondiffusion problems using higher order Galerkin and streamline diffusion finite element method. We are especially interested in convergence and superconvergence properties with respect to different interpolation operators. For this we investigate pointwise interpolation and vertex-edge-cell interpolation. (C) 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013

Details

Original languageEnglish
Pages (from-to)280-296
Number of pages17
JournalNumerical methods for partial differential equations
Volume29
Issue number1
Publication statusPublished - Jan 2013
Peer-reviewedYes

External IDs

Scopus 84870337499
ORCID /0000-0002-2458-1597/work/142239709

Keywords

Keywords

  • boundary layers, layer-adapted meshes, singular perturbation, superconvergence, FINITE-ELEMENT-METHOD, CORNER SINGULARITIES, BOUNDARY-LAYERS, SUPERCONVERGENCE