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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2510.05368 |
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| _version_ | 1866916993124270080 |
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| author | Barnafi, Nicolás A. Lepe, Felipe Riquelme, Francisca Muñoz |
| author_facet | Barnafi, Nicolás A. Lepe, Felipe Riquelme, Francisca Muñoz |
| contents | In two and three dimensions, we analyze a finite element method to approximate the solutions of an eigenvalue problem arising from neutron transport. We derive the eigenvalue problem of interest, which results to be non-symmetric. Under a standard finite element approximation based on piecewise polynomials of degree $k \geq 1$, and under the framework of the compact operators theory, we prove convergence and error estimates of the proposed method. We report a series of numerical tests in order confirm the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05368 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite element analysis of an eigenvalue problem arising from neutron transport Barnafi, Nicolás A. Lepe, Felipe Riquelme, Francisca Muñoz Numerical Analysis In two and three dimensions, we analyze a finite element method to approximate the solutions of an eigenvalue problem arising from neutron transport. We derive the eigenvalue problem of interest, which results to be non-symmetric. Under a standard finite element approximation based on piecewise polynomials of degree $k \geq 1$, and under the framework of the compact operators theory, we prove convergence and error estimates of the proposed method. We report a series of numerical tests in order confirm the theoretical results. |
| title | Finite element analysis of an eigenvalue problem arising from neutron transport |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2510.05368 |