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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.07406 |
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| _version_ | 1866909949279338496 |
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| author | Alastuey, Ignacio Diaz Gorrec, Yann Le Wu, Yongxin |
| author_facet | Alastuey, Ignacio Diaz Gorrec, Yann Le Wu, Yongxin |
| contents | This paper extends previous work on finitedifference schemes over staggered grids for infinite-dimensional port-Hamiltonian systems. In the one-dimensional setting, it generalizes the discretization approach originally developed for the wave equation to a broader class of systems characterized by interconnection operators that include both differential and non-differential terms, such as the Timoshenko beam equation. The paper then introduces a discretization strategy for the two-dimensional case that requires only two grids, thereby accommodating a wider range of systems, including those whose interconnection operators contain non-differential components, such as the Mindlin plate model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07406 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structure preserving discretization method for 1D and 2D port-Hamiltonian systems using finite differences on staggered grids Alastuey, Ignacio Diaz Gorrec, Yann Le Wu, Yongxin Numerical Analysis This paper extends previous work on finitedifference schemes over staggered grids for infinite-dimensional port-Hamiltonian systems. In the one-dimensional setting, it generalizes the discretization approach originally developed for the wave equation to a broader class of systems characterized by interconnection operators that include both differential and non-differential terms, such as the Timoshenko beam equation. The paper then introduces a discretization strategy for the two-dimensional case that requires only two grids, thereby accommodating a wider range of systems, including those whose interconnection operators contain non-differential components, such as the Mindlin plate model. |
| title | Structure preserving discretization method for 1D and 2D port-Hamiltonian systems using finite differences on staggered grids |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2512.07406 |