Search Results - "Wimmer, Golo A."

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  1. 1

    Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations by Wimmer, Golo A., Cotter, Colin J., Bauer, Werner

    Published in Journal of computational physics (15-01-2020)
    “…•Combine compatible finite element method with Hamiltonian framework.•Include upwinding schemes while maintaining energy conservation.•Obtain more stable…”
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    Journal Article
  2. 2

    Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics by Wimmer, Golo A., Tang, Xian-Zhu

    Published in Journal of computational physics (15-03-2024)
    “…We present compatible finite element space discretizations for the ideal compressible magnetohydrodynamic equations. The magnetic field is considered both in…”
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    Journal Article
  3. 3

    Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics by Wimmer, Golo A, Tang, Xianzhu

    Published 05-10-2022
    “…We present compatible finite element space discretizations for the ideal compressible magnetohydrodynamic equations. The magnetic field is considered both in…”
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    Journal Article
  4. 4

    A structure-preserving discontinuous Galerkin scheme for the Cahn-Hilliard equation including time adaptivity by Wimmer, Golo A, Southworth, Ben S, Tang, Qi

    Published 16-10-2024
    “…We present a novel spatial discretization for the Cahn-Hilliard equation including transport. The method is given by a mixed discretization for the two…”
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    Journal Article
  5. 5

    Improving the accuracy of discretisations of the vector transport equation on the lowest-order quadrilateral Raviart-Thomas finite elements by Bendall, Thomas M, Wimmer, Golo A

    Published 07-07-2022
    “…Within finite element models of fluids, vector-valued fields such as velocity or momentum variables are commonly discretised using the Raviart-Thomas elements…”
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    Journal Article
  6. 6

    A fast algebraic multigrid solver and accurate discretization for highly anisotropic heat flux I: open field lines by Wimmer, Golo A, Southworth, Ben S, Gregory, Thomas J, Tang, Xian-Zhu

    Published 30-01-2023
    “…We present a novel solver technique for the anisotropic heat flux equation, aimed at the high level of anisotropy seen in magnetic confinement fusion plasmas…”
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    Journal Article
  7. 7

    Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction by Wimmer, Golo A, Cotter, Colin J, Bauer, Werner

    Published 27-01-2020
    “…We present an energy conserving space discretisation based on a Poisson bracket that can be used to derive the dry compressible Euler as well as thermal…”
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    Journal Article