A discrete-ordinate weak Galerkin method for radiative transfer equation
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2022
- DOI:
- 10.48550/arXiv.2211.10745
- arXiv:
- arXiv:2211.10745
- Bibcode:
- 2022arXiv221110745S
- Keywords:
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- Mathematics - Numerical Analysis
- E-Print:
- To appear in Applied Numerical Mathematics