Resumen de On the stable solution of transient convection–diffusion equations

N.R. Bayramov, J.K. Kraus

• 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.