Adaptive mesh refinement for the Landau-Lifshitz-Gilbert equation
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912879602565120 |
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| author | Bohn, Jan Dörfler, Willy Feischl, Michael Karch, Stefan |
| author_facet | Bohn, Jan Dörfler, Willy Feischl, Michael Karch, Stefan |
| contents | We propose a new adaptive algorithm for the approximation of the Landau-Lifshitz-Gilbert equation via a higher-order tangent plane scheme. We show that the adaptive approximation satisfies an energy inequality and demonstrate numerically, that the adaptive algorithm outperforms uniform approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_07463 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Adaptive mesh refinement for the Landau-Lifshitz-Gilbert equation Bohn, Jan Dörfler, Willy Feischl, Michael Karch, Stefan Numerical Analysis We propose a new adaptive algorithm for the approximation of the Landau-Lifshitz-Gilbert equation via a higher-order tangent plane scheme. We show that the adaptive approximation satisfies an energy inequality and demonstrate numerically, that the adaptive algorithm outperforms uniform approaches. |
| title | Adaptive mesh refinement for the Landau-Lifshitz-Gilbert equation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2303.07463 |