TY - DATA T1 - Script underlying the paper "Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry" PY - 2024/02/20 AU - Matthias Schlottbom AU - Riccardo Bardin AU - Olena Palii AU - Fleurianne Bertrand UR - DO - 10.4121/b9896e32-e99b-41b9-ae24-1700b9e4cbff.v1 KW - Radiative Transfer Equation KW - Slab geometry KW - Discontinuous Galerkin KW - phase-space N2 -

*** Solver for a phase-space Discontinuous Galerkin discretization for radiative transfer in slab-geometry ***

authors: R. Bardin, F. Bertrand, O. Palii, M. Schlottbom 

corresponding author: Matthias Schlottbom, University of Twente, m.schlottbom@utwente.nl

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.

*** Scientific reference ***

R. Bardin, F. Bertrand, O. Palii, M. Schlottbom 

A Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry.

Computational Methods in Applied Mathematics, 2024. doi: 10.1515/cmam-2023-0090

When using this code, cite that paper.

*** Description ***

For using the code, unzip the repository and run run.m. 

In lines 8-15, there are parameters regarding the solvers, test cases, and mesh refinement routines used.

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