Geodesic
On a certain two-sided symmetric condition in magnetic field analysis and computations
Applications of Mathematics, Tome 42 (1997) no. 2, pp. 147-159
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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.
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.
DOI : 10.1023/A:1022295111737
Classification : 35Q60, 65N12, 65N30, 65Z05, 78A30
Keywords: magnetic field; variational formulation; two-sided existence and uniqueness condition; finite element method; convergence; finite element method; numerical example; magnetic potential 
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     title = {On a certain two-sided symmetric condition in magnetic field analysis and computations},
     journal = {Applications of Mathematics},
     pages = {147--159},
     year = {1997},
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Melkes, František; Ženíšek, Alexander. On a certain two-sided symmetric condition in magnetic field analysis and computations. Applications of Mathematics, Tome 42 (1997) no. 2, pp. 147-159. doi: 10.1023/A:1022295111737

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