Error Estimates for a Numerical Scheme for Ferromagnetic Problems

Authors:
P. B. Monk;O. Vacus
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
1999

Citing 0
Cited 8

Numerical study of nonlinear ferromagnetic materials

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An iterative approximation scheme for the Landau-Lifshitz-Gilbert equation

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Geometrical integration of Landau-Lifshitz-Gilbert equation based on the mid-point rule

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Error estimates for Landau-Lifshitz-Gilbert equation with magnetostriction

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Regularity properties of the solutions to the 3D Maxwell-Landau-Lifshitz system in weighted Sobolev spaces

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Dynamic susceptibility computations for thin magnetic films

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Abstract

We propose a finite element method for approximating the nonlinear 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.