On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations: Part II - Analysis for P1 and Q1 finite elements - Science

On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations: Part II - Analysis for P1 and Q1 finite elements

ID: 2539, RIV: 10027594
ISSN: 0045-7825, ISBN: not specified
source: Computer Methods in Applied Mechanics and Engineering
keywords: spurious; oscillations; layers; diminishing; methods; convection-diffusion; equations; Analysis; finite; elements
authors: Volker John, Petr Knobloch
authors from KNM: Knobloch Petr

Abstract

The most promising SOLD methods are investigated for P1 and Q1 finite elements. In particular, the dependence of the results on the mesh, the data of the problems and parameters of the methods are studied analytically and numerically.