APPLICATIONS OF MATHEMATICS, Vol. 50, No. 4, pp. 401-412, 2005

Two-sided symmetric condition in the analysis of
magnetic fields with permanent magnets

Frantisek Melkes

F. Melkes, Brno University of Technology, FEKT UMAT, Technicka 8, CZ-616 00 Brno, Czech Republic

Abstract: Mathematical treatment of a planar magnetic field excited by permanent magnets is presented. A special two-sided condition for differential magnetic reluctivity is introduced to prove the unique existence of both the weak and the approximate solutions and also a certain error estimate. Notes to numerical algorithm and practical applications are given.

Keywords: magnetic field with permanent magnets, variational formulation, two-sided unique existence condition, finite element method

Classification (MSC 2000): 65N30


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