A Two-Step Formulation of Maxwell's Equations Using Generalized Tree-Cotree Gauges for Low-Frequency-Stability
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916866071461888 |
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| author | Herles, Leon Mally, Mario Ostrowski, Jörg Schöps, Sebastian Merkel, Melina |
| author_facet | Herles, Leon Mally, Mario Ostrowski, Jörg Schöps, Sebastian Merkel, Melina |
| contents | This paper presents a new low-frequency stabilization for a two-step formulation solving the full set of Maxwell's equations. The formulation is based on a electric scalar and magnetic vector potential equation using the electroquasistatic problem as gauge condition. The proposed stabilization technique consists of an adequate frequency scaling for the electroquasistatic problem, and a tree-cotree decomposition of the magnetic vector potential such that its divergence remains consistent with the partial decoupling of the magnetic and electric potentials. The paper discusses two variants and demonstrates the effectiveness by a few computational examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13588 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Two-Step Formulation of Maxwell's Equations Using Generalized Tree-Cotree Gauges for Low-Frequency-Stability Herles, Leon Mally, Mario Ostrowski, Jörg Schöps, Sebastian Merkel, Melina Numerical Analysis This paper presents a new low-frequency stabilization for a two-step formulation solving the full set of Maxwell's equations. The formulation is based on a electric scalar and magnetic vector potential equation using the electroquasistatic problem as gauge condition. The proposed stabilization technique consists of an adequate frequency scaling for the electroquasistatic problem, and a tree-cotree decomposition of the magnetic vector potential such that its divergence remains consistent with the partial decoupling of the magnetic and electric potentials. The paper discusses two variants and demonstrates the effectiveness by a few computational examples. |
| title | A Two-Step Formulation of Maxwell's Equations Using Generalized Tree-Cotree Gauges for Low-Frequency-Stability |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2502.13588 |