An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism |
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Authors: | Ľubomí r Baňas |
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Affiliation: | Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, United Kingdom |
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Abstract: | We consider a system of Maxwell’s and Landau-Lifshitz-Gilbert equations describing magnetization dynamics in micromagnetism. The problem is discretized by a convergent, unconditionally stable finite element method. A multigrid preconditioned Uzawa type method for the solution of the algebraic system resulting from the discretized Maxwell’s equations is constructed. The efficiency of the method is demonstrated on numerical experiments and the results are compared to those obtained by simplified models. |
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Keywords: | Ferromagnetism Maxwell-Landau-Lifshitz-Gilbert equations Finite elements Multigrid Preconditioner |
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