On the stable solution of transient convection–diffusion equations

N.R. Bayramov ^[1] ; J.K. Kraus ^[1]
1. [1] Austrian Academy of Sciences
  
  Austrian Academy of Sciences
  
  Innere Stadt, Austria
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 280, Nº 1 (15 May 2015), 2015, págs. 275-293
Idioma: inglés
DOI: 10.1016/j.cam.2014.12.001
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Resumen
- A transient convection–diffusion equation is considered, which particularly arises in optimization problems for the asymmetric flow field-flow fractionation (AF4) process. A time-dependent generalization of the monotone edge-averaged finite element (EAFE) scheme is used to obtain a stable discretization in the convection-dominated regime. New error estimates are proved for this scheme and a comparison with the popular SUPG method is presented. Numerical experiments demonstrate that the EAFE method is more suitable for problems where boundary layers are formed.