cff-version: 1.2.0
abstract: "<h4>*** Solver for a phase-space Discontinuous Galerkin discretization for radiative transfer in slab-geometry ***</h4><p>authors: R. Bardin, F. Bertrand, O. Palii, M. Schlottbom&nbsp;</p><p>corresponding author: Matthias Schlottbom, University of Twente, m.schlottbom@utwente.nl</p><p></p><p>We implement a symmetric interior penalty discontinuous Galerkin scheme for the approximation of the second-order form of the radiative transfer equation in slab geometry, using different polynomial degrees and quad-tree grids, which allow for local refinement in phase-space. We implement hierarchical error estimators.</p><p></p><h4>*** Scientific reference ***</h4><p>R. Bardin, F. Bertrand, O. Palii, M. Schlottbom&nbsp;</p><p><em>A Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry.</em></p><p>Computational Methods in Applied Mathematics, 2024. doi: <em>10.1515/cmam-2023-0090</em></p><p>When using this code, cite that paper.</p><p></p><p></p><h4>*** Description ***</h4><p>For using the code, unzip the repository and run run.m.&nbsp;</p><p>In lines 8-15, there are parameters regarding the solvers, test cases, and mesh refinement routines used.</p><p></p><p></p>"
authors:
  - family-names: Schlottbom
    given-names: Matthias
    orcid: "https://orcid.org/0000-0002-2527-6498"
  - family-names: Bardin
    given-names: Riccardo
  - family-names: Palii
    given-names: Olena
  - family-names: Bertrand
    given-names: Fleurianne
title: "Script underlying the paper &#34;Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry&#34;"
keywords:
version: 1
identifiers:
  - type: doi
    value: 10.4121/b9896e32-e99b-41b9-ae24-1700b9e4cbff.v1
license: CC0
date-released: 2024-02-20