## Abstract We suggest a linear numerical scheme solving strongly non‐linear coupled Maxwell–Landau–Lifshitz (Maxwell–LL) system describing ferromagnetic phenomena. Using recent results on the regularity of the solutions to the Maxwell–LL system we are able to prove convergence and to derive the er
Optimal convergence rate for Maxwell–Landau–Lifschitz system
✍ Scribed by Ivan Cimrák; Marián Slodička
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 125 KB
- Volume
- 343
- Category
- Article
- ISSN
- 0921-4526
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✦ Synopsis
Micromagnetic evolution is described by the Landau-Lifshitz equation. The equation is studied without the exchange field. We consider the case with quasi-static Maxwell's equations and a single Landau-Lifshitz equation as well. We use recently introduced numerical scheme conserving magnitude of the magnetization and prove better convergence rate to the solution. We illustrate the theoretical results on numerical examples.
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