This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Barrenechea, Gabriel R.John, VolkerKnobloch, PetrRankin, Richard2018-04-162019-06-2820182198-5855https://doi.org/10.34657/1902https://oa.tib.eu/renate/handle/123456789/3101Recent 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.application/pdfeng510scalar convection-diffusion equationsalgebraic stabilizationsedge-based diffusion schemediscrete maximum principleerror analysisReport