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| File | Description | Size | Format | |
|---|---|---|---|---|
| A_unified_analysis_of_algebraic_flux.pdf | 1,79 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/10.1007/s40324-018-0160-6 |
| URI: | https://oa.tib.eu/renate/handle/123456789/9107 https://doi.org/10.34657/8145 |
| Issue Date: | 2018 |
| Published in: | SeMA journal 75 (2018), Nr. 4 |
| Journal: | SeMA journal |
| Volume: | 75 |
| Issue: | 4 |
| Page Start: | 655 |
| Page End: | 685 |
| Publisher: | Berlin ; Heidelberg : Springer |
| 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 schemes. Then, specific versions of the method, that is, different definitions for the flux limiters, are reviewed and their main results stated. Numerical studies compare the different versions of the scheme. |
| Keywords: | Algebraic flux correction; Comparison of limiters; Discrete maximum principle; Edge diffusion; Steady-state convection-diffusion equation |
| Type: | article; Text |
| Publishing status: | publishedVersion |
| DDC: | 510 |
| License: | CC BY 4.0 Unported |
| Link to license: | https://creativecommons.org/licenses/by/4.0/ |
| 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. 2018. Berlin ; Heidelberg : Springer
Barrenechea, G. R., John, V., Knobloch, P. and Rankin, R. (2018) “A unified analysis of algebraic flux correction schemes for convection–diffusion equations.” Berlin ; Heidelberg : Springer. doi: https://doi.org/10.1007/s40324-018-0160-6.
Barrenechea G R, John V, Knobloch P, Rankin R. A unified analysis of algebraic flux correction schemes for convection–diffusion equations. Vol. 75. Berlin ; Heidelberg : Springer; 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. 75). Version publishedVersion, Vol. 75. Berlin ; Heidelberg : Springer. https://doi.org/https://doi.org/10.1007/s40324-018-0160-6
Barrenechea G R, John V, Knobloch P, Rankin R. A unified analysis of algebraic flux correction schemes for convection–diffusion equations. 2018;75(4). doi:https://doi.org/10.1007/s40324-018-0160-6
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