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Accurate discretization of a nonlinear micromagnetic problem - MaRDI portal

Accurate discretization of a nonlinear micromagnetic problem (Q5947180)

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scientific article; zbMATH DE number 1663268
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Accurate discretization of a nonlinear micromagnetic problem
scientific article; zbMATH DE number 1663268

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    Accurate discretization of a nonlinear micromagnetic problem (English)
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    6 September 2002
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    The authors discuss the Maxwell-Landau-Lifschitz-Gilbert equations for the electromagnetic field in a ferromagnetic material. Using Lyapunov functions they derive variational principles involving weak formulations associated with these equations. Finite element formulations using linear tetrahedral and hexahedral elements are introduced and a discrete analogue to the constancy of the norm of the magnetization is produced. Examples of the application of these ideas are given to some two-dimensional problems.
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    discretization
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    nonlinear micromagnetic problem
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