An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism

Banas L (2009)
Mathematics and Computers in Simulation 80(8): 1657-1663.

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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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Banas L. An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism. Mathematics and Computers in Simulation. 2009;80(8):1657-1663.
Banas, L. (2009). An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism. Mathematics and Computers in Simulation, 80(8), 1657-1663. doi:10.1016/j.matcom.2009.02.009
Banas, L. (2009). An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism. Mathematics and Computers in Simulation 80, 1657-1663.
Banas, L., 2009. An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism. Mathematics and Computers in Simulation, 80(8), p 1657-1663.
L. Banas, “An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism”, Mathematics and Computers in Simulation, vol. 80, 2009, pp. 1657-1663.
Banas, L.: An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism. Mathematics and Computers in Simulation. 80, 1657-1663 (2009).
Banas, Lubomir. “An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism”. Mathematics and Computers in Simulation 80.8 (2009): 1657-1663.
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