(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2018) Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard
Recent results on the numerical analysis of Algebraic Flux Correction
(AFC) finite element schemes for scalar convection-diffusion equations are
reviewed and presented in a unified way. A general form of the method is
presented using a link between AFC schemes and nonlinear edge-based diffusion
scheme. Then, specific versions of the method, this is, different definitions
for the flux limiters, are reviewed and their main results stated. Numerical
studies compare the different versions of the scheme.
