On the application of algebraic flux correction schemes to problems with non-vanishing right-hand side

• ID: 2715, RIV: 10318587
• ISSN: 1439-7358, ISBN: 978-3-319-25725-9
• zdroj: Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014
• klíčová slova: finite element method; convection-diffusion equation; algebraic flux correction schemes; accuracy
• autoři: Petr Knobloch
• autoři z KNM: Knobloch Petr

Abstrakt

It is demonstrated that the application of an algebraic flux correction (AFC) scheme to a singularly perturbed steady convection-diffusion equation with a non-vanishing right-hand side does not lead to satisfactory results in the boundary layer region. It is proved that it is not possible to construct an AFC scheme of the type considered for which the solution is accurate in the whole computational domain for any convection-diffusion problem with non-vanishing right-hand side.