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Macroscopic modeling of magnetic hysteresis

by M. Kruzik and A. Prohl

(Report number 2002-12)

Abstract
We formulate a time incremental macroscopical rate-independent model of magnetic hysteresis. This model stems out from a mesoscopical description recently given in [29]. We show uniqueness of a solution to the time-discretized problem and existence of discrete periodic solutions. As our macroscopical model has a convex structure we solve corresponding Euler-Lagrange equations at each time step. A numerical realization of those equations is given and computational examples are presented.

Keywords: micromagnetics, hysteresis, relaxation, Young measures finite elements, a priori error analysis

@Techreport{KP02_298,
  author = {M. Kruzik and A. Prohl},
  title = {Macroscopic modeling of magnetic hysteresis},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2002-12},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2002/2002-12.pdf },
  year = {2002}
}

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