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| File | Size | Format | |
|---|---|---|---|
| 1016556071.pdf | 1,69 MB | Adobe PDF | View/Open |
| Title: | A unified analysis of Algebraic Flux Correction schemes for convection-diffusion equations |
| Authors: | Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr; Rankin, Richard |
| Publishers version: | https://doi.org/10.20347/WIAS.PREPRINT.2475 |
| URI: | https://doi.org/10.34657/1902 https://oa.tib.eu/renate/handle/123456789/3101 |
| Issue Date: | 2018 |
| Published in: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2475, ISSN 2198-5855 |
| Journal: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik |
| Volume: | 2475 |
| 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. |
| Keywords: | scalar convection-diffusion equations; algebraic stabilizations; edge-based diffusion scheme; discrete maximum principle; error analysis |
| Type: | report; Text |
| Publishing status: | publishedVersion |
| DDC: | 510 |
| 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. 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. |
| Appears in Collections: | Mathematik |
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Barrenechea, Gabriel R., Volker John, Petr Knobloch and Richard Rankin, 2018. A unified analysis of Algebraic Flux Correction schemes for
convection-diffusion equations. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Barrenechea, G. R., John, V., Knobloch, P. and Rankin, R. (2018) A unified analysis of Algebraic Flux Correction schemes for
convection-diffusion equations. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. doi: https://doi.org/10.20347/WIAS.PREPRINT.2475.
Barrenechea G R, John V, Knobloch P, Rankin R. A unified analysis of Algebraic Flux Correction schemes for
convection-diffusion equations. Vol. 2475. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik; 2018.
Barrenechea, G. R., John, V., Knobloch, P., & Rankin, R. (2018). A unified analysis of Algebraic Flux Correction schemes for
convection-diffusion equations (Version publishedVersion, Vol. 2475). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. https://doi.org/https://doi.org/10.20347/WIAS.PREPRINT.2475
Barrenechea G R, John V, Knobloch P, Rankin R. A unified analysis of Algebraic Flux Correction schemes for
convection-diffusion equations. Vol. 2475. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik; 2018. doi:https://doi.org/10.20347/WIAS.PREPRINT.2475
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