%0 Generic
%A Schlottbom, Matthias
%A Bardin, Riccardo
%A Palii, Olena
%A Bertrand, Fleurianne
%D 2024
%T Script underlying the paper "Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry"
%U 
%R 10.4121/b9896e32-e99b-41b9-ae24-1700b9e4cbff.v1
%K Radiative Transfer Equation
%K Slab geometry
%K Discontinuous Galerkin
%K phase-space
%X <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>
%I 4TU.ResearchData