Title: On the performance of SOLD methods for convection–diffusion problems with interior layers

Authors: V. John, P. Knobloch

Addresses: Universitat des Saarlandes, Fachbereich 6.1 – Mathematik, Postfach 15 11 50, 66041 Saarbrucken, Germany. ' Charles University, Faculty of Mathematics and Physics, Department of Numerical Mathematics, Sokolovska 83, 18675 Praha 8, Czech Republic

Abstract: Numerical solutions of convection–diffusion equations obtained using the Streamline–Upwind Petrov–Galerkin (SUPG) stabilisation typically possess spurious oscillations at layers. Spurious Oscillations at Layers Diminishing (SOLD) methods aim to suppress or at least diminish these oscillations without smearing the layers extensively. In the recent review by John and Knobloch (2007), numerical studies at convection–diffusion problems with constant convection whose solutions have boundary layers led to a pre-selection of the best available SOLD methods with respect to the two goals stated above. The behaviour of these methods is studied in this paper for a convection–diffusion problem with a non-constant convection field whose solution possesses an interior layer.

Keywords: convection–diffusion equations; streamline–upwind Petrov–Galerkin; SUPG method; spurious oscillations at layers diminishing; SOLD methods; interior layers.

DOI: 10.1504/IJCSM.2007.016534

International Journal of Computing Science and Mathematics, 2007 Vol.1 No.2/3/4, pp.245 - 258

Published online: 07 Jan 2008 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article