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Error Estimates for a Numerical Scheme for Ferromagnetic Problems

Peter Monk 1 Olivier Vacus 1
1 ONDES - Modeling, analysis and simulation of wave propagation phenomena
Inria Paris-Rocquencourt, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR2706
Abstract : We propose a finite element method for approximating the non-linear equations describing the electromagnetic field in a ferromagnetic material. Using energy arguments, we prove an optimal convergence rate for the method assuming a sufficiently smooth electromagnetic field. We also verify that the finite element solution satisfies various conservation conditions appropriate to the continuous problem. Finally, we provide some numerical examples.
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https://hal.inria.fr/inria-00073519
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Submitted on : Wednesday, May 24, 2006 - 1:06:44 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:04 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:49:04 PM

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  • HAL Id : inria-00073519, version 1

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Peter Monk, Olivier Vacus. Error Estimates for a Numerical Scheme for Ferromagnetic Problems. [Research Report] RR-3169, INRIA. 1997. ⟨inria-00073519⟩

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