Geodesic
An algorithm for calculating the equilibrium state of a ferromagnetic by the Lagrange multiplier method
Numerical methods and programming, Tome 13 (2012) no. 4, pp. 551-558

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An efficient approach for calculating the equilibrium magnetization distribution in a discrete micromagnetic model of a ferromagnetic based on the Lagrange multiplier method is described. The convergence of the iterative process and the stability of the resulting solution are analyzed. The implementation of the developed algorithm for the numerical analysis of the equilibrium state of ferromagnetic objects shows a significant reduction of the required computer memory and a considerable acceleration of the computational process.
Keywords: micromagnetic simulation; equilibrium magnetization; Lagrange multiplier method; fast Fourier transform; stability of solution. 
@article{VMP_2012_13_4_a7,
     author = {A. V. Izotov and B. A. Belyaev and M. M. Valikhanov and S. V. Polenga and A. V. Stefanyuk},
     title = {An algorithm for calculating the equilibrium state of a ferromagnetic by the {Lagrange} multiplier method},
     journal = {Numerical methods and programming},
     pages = {551--558},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2012_13_4_a7/}
}
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A. V. Izotov; B. A. Belyaev; M. M. Valikhanov; S. V. Polenga; A. V. Stefanyuk. An algorithm for calculating the equilibrium state of a ferromagnetic by the Lagrange multiplier method. Numerical methods and programming, Tome 13 (2012) no. 4, pp. 551-558. http://geodesic.mathdoc.fr/item/VMP_2012_13_4_a7/