A discontinuous Galerkin method for the mono-energetic Fokker-Planck equation based on a spherical interior penalty formulation

DOI10.1016/j.cam.2017.08.019zbMath1378.82038OpenAlexW2752041179MaRDI QIDQ1675954

Danny Lathouwers, Aldo Hennink

Publication date: 3 November 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.08.019

zbMATH Keywords

upwindingradiation transportdiscontinuous GalerkinFokker-Planckparticle transportinterior penalty

Mathematics Subject Classification ID

Related Items (3)

Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods ⋮ Investigations to the price evolutions of goods exchange with CES utility functions ⋮ An angular multigrid preconditioner for the radiation transport equation with Fokker-Planck scattering

Uses Software

• Gmsh

Cites Work

• Mathematical aspects of discontinuous Galerkin methods.
• Localized discrete Laplace-Beltrami operator over triangular mesh
• Galerkin approximation for elliptic PDEs on spheres
• An explicit expression for the penalty parameter of the interior penalty method
• Estimation of penalty parameters for symmetric interior penalty Galerkin methods
• A space-angle DGFEM approach for the Boltzmann radiation transport equation with local angular refinement
• Discrete Laplace-Beltrami operators and their convergence
• Asymptotic properties of some triangulations of the sphere
• A review of the local discontinuous Galerkin (LDG) method applied to elliptic problems
• Analysis of the discontinuous Galerkin method for elliptic problems on surfaces
• Cell centered Galerkin methods for diffusive problems
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Angular Multigrid Preconditioner for Krylov-Based Solution Techniques Applied to theS_nEquations with Highly Forward-Peaked Scattering
• Finite element methods for surface PDEs

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