Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912276642004992 |
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| author | Ciarlet, Jr., Patrick Do, Minh-Hieu Madiot, François |
| author_facet | Ciarlet, Jr., Patrick Do, Minh-Hieu Madiot, François |
| contents | The multigroup neutron diffusion equations are often used to model the neutron density at the nuclear reactor core scale. Classically, these equations can be recast in a mixed variational form. This chapter presents an adaptive mesh refinement approach based on a posteriori estimators. We focus on refinement strategies on Cartesian meshes, since such structures are common for nuclear reactor core applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11800 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations Ciarlet, Jr., Patrick Do, Minh-Hieu Madiot, François Numerical Analysis The multigroup neutron diffusion equations are often used to model the neutron density at the nuclear reactor core scale. Classically, these equations can be recast in a mixed variational form. This chapter presents an adaptive mesh refinement approach based on a posteriori estimators. We focus on refinement strategies on Cartesian meshes, since such structures are common for nuclear reactor core applications. |
| title | Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2503.11800 |