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Article

Melkes, František ; Ženíšek, Alexander
On a certain two-sided symmetric condition in magnetic field analysis and computations. (English). Applications of Mathematics, vol. 42 (1997), issue 2, pp. 147-159
MSC: 35Q60, 65N12, 65N30, 65Z05, 78A30 | MR 1430406 | Zbl 0902.65078 | DOI: 10.1023/A:1022295111737
Keywords:
magnetic field; variational formulation; two-sided existence and uniqueness condition; finite element method; convergence; finite element method; numerical example; magnetic potential
Summary:
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.
References:
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