Search Results - "Wimmer, Golo A."
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Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations
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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Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics
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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Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics
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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A structure-preserving discontinuous Galerkin scheme for the Cahn-Hilliard equation including time adaptivity
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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Improving the accuracy of discretisations of the vector transport equation on the lowest-order quadrilateral Raviart-Thomas finite elements
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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A fast algebraic multigrid solver and accurate discretization for highly anisotropic heat flux I: open field lines
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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Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction
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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