A discrete-ordinate weak Galerkin method for radiative transfer equation
Numerical Analysis
2024-02-13 v2 Numerical Analysis
Abstract
This research article discusses a numerical solution of the radiative transfer equation based on the weak Galerkin finite element method. We discretize the angular variable by means of the discrete-ordinate method. Then the resulting semi-discrete hyperbolic system is approximated using the weak Galerkin method. The stability result for the proposed numerical method is devised. A priori error analysis is established under the suitable norm. In order to examine the theoretical results, numerical experiments are carried out.
Cite
@article{arxiv.2211.10745,
title = {A discrete-ordinate weak Galerkin method for radiative transfer equation},
author = {Maneesh Kumar Singh},
journal= {arXiv preprint arXiv:2211.10745},
year = {2024}
}
Comments
To appear in Applied Numerical Mathematics