A discrete-ordinate weak Galerkin method for radiative transfer equation
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929239483219968 |
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| author | Singh, Maneesh Kumar |
| author_facet | Singh, Maneesh Kumar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_10745 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A discrete-ordinate weak Galerkin method for radiative transfer equation Singh, Maneesh Kumar Numerical Analysis 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. |
| title | A discrete-ordinate weak Galerkin method for radiative transfer equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2211.10745 |