Energy-minimizing, symmetric discretizations for anisotropic meshes and energy functional extrapolation

MJ Kuhn, C Kruse, U Rüde - SIAM Journal on Scientific Computing, 2021 - SIAM
Self-adjoint differential operators often arise from variational calculus on energy functionals.
In this case, a direct discretization of the energy functional induces a discretization of the …

Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications

MJ Kühn, C Kruse, U Rüde - Journal of Scientific Computing, 2022 - Springer
The gyrokinetic Poisson equation arises as a subproblem of Tokamak fusion reactor
simulations. It is often posed on disk-like cross sections of the Tokamak that are represented …

Solver comparison for Poisson-like equations on tokamak geometries

E Bourne, P Leleux, K Kormann, C Kruse… - Journal of …, 2023 - Elsevier
The solution of Poisson-like equations defined on a complex geometry is required for
gyrokinetic simulations, which are important for the modelling of plasma turbulence in …

Complexity analysis and scalability of a matrix-free extrapolated geometric multigrid solver for curvilinear coordinates representations from fusion plasma applications

P Leleux, C Schwarz, MJ Kühn, C Kruse, U Rüde - 2023 - hal.science
Tokamak fusion reactors are promising alternatives for future energy production. Gyrokinetic
simulations are important tools to understand physical processes inside tokamaks and to …

Geometric multigrid for the Gyrokinetic Poisson equation from fusion plasma applications

C Schwarz - 2021 - elib.dlr.de
In order to face climate change and to preserve our ecosystem, we have to reduce the
overall emission of carbon dioxide into the atmosphere. A promising addition to renewable …

Energy-minimizing, symmetric finite differences for anisotropic meshes and energy functional extrapolation

MJ Kühn, C Kruse, U Rüde - 2020 - hal.science
Self-adjoint differential operators often arise from variational calculus on energy functionals.
In this case, a direct discretization of the energy functional induces a discretization of the …