An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes

Barrenechea, Gabriel R. and Volker, John and Knobloch, Petr (2017) An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes. Mathematical Models and Methods in Applied Sciences, 27 (3). pp. 525-548. ISSN 0218-2025 (https://doi.org/10.1142/S0218202517500087)

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Abstract

This work is devoted to the proposal of a new flux limiter that makes the algebraic flux correction finite element scheme linearity and positivity preserving on general simplicial meshes. Minimal assumptions on the limiter are given in order to guarantee the validity of the discrete maximum principle, and then a precise definition of it is proposed and analyzed. Numerical results for convection–diffusion problems confirm the theory.

ORCID iDs

Barrenechea, Gabriel R. ORCID logoORCID: https://orcid.org/0000-0003-4490-678X, Volker, John and Knobloch, Petr;
  • Item type:Article
    ID code:69858
    Dates:
    Date
    Event
    3 March 2017
    Published
    23 December 2016
    Accepted
    Notes:Electronic version of an article published as Barrenechea, G., Volker, J., & Knobloch, P. (2017). An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes. Mathematical models & methods in applied sciences, 27(3), 525-548. https://doi.org/10.1142/S0218202517500087 © [Copyright World Scientific Publishing Company]
    Subjects:Science > Mathematics
    Department:Strategic Research Themes > Ocean, Air and Space
    Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:19 Sep 2019 15:49
    Last modified:11 Nov 2024 12:25
    URI:https://strathprints.strath.ac.uk/id/eprint/69858
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