A unified analysis of Algebraic Flux Correction schemes for convection-diffusion equations

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Date
2018
Volume
2475
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Abstract

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.

Description
Keywords
scalar convection-diffusion equations, algebraic stabilizations, edge-based diffusion scheme, discrete maximum principle, error analysis
Citation
Barrenechea, G. R., John, V., Knobloch, P., & Rankin, R. (2018). A unified analysis of Algebraic Flux Correction schemes for convection-diffusion equations (Vol. 2475). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. https://doi.org//10.20347/WIAS.PREPRINT.2475
License
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.
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