Frantisek Melkes, Technical University, FEI UMAT, Technicka 8, 616 00 Brno, e-mail: melkes@dmat.fee.vutbr.cz; Alexander Zenisek, Technical University, FS UMAT, Technicka 2, 616 69 Brno, e-mail: zenisek@kinf.fme.vutbr.cz
Abstract: A special two-sided condition for the incremental magnetic reluctivity is introduced which guarantees the unique existence of both the weak and the approximate solutions of the nonlinear stationary magnetic field distributed on a region composed of different media, as well as a certain estimate of the error between the two solutions. The condition, being discussed from the physical as well as the mathematical point of view, can be easily verified and is fulfilled for various magnetic reluctivity models used in electrotechnical practice.
Keywords: magnetic field, variational formulation, two-sided existence and uniqueness condition, finite element method
Classification (MSC 1991): 65N30
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