On a certain two-sided symmetric condition in magnetic field analysis and computations

František Melkes; Alexander Ženíšek

Applications of Mathematics (1997)

  • Volume: 42, Issue: 2, page 147-159
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Melkes, František, and Ženíšek, Alexander. "On a certain two-sided symmetric condition in magnetic field analysis and computations." Applications of Mathematics 42.2 (1997): 147-159. <http://eudml.org/doc/32973>.

@article{Melkes1997,
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.},
author = {Melkes, František, Ženíšek, Alexander},
journal = {Applications of Mathematics},
keywords = {magnetic field; variational formulation; two-sided existence and uniqueness condition; finite element method; convergence; finite element method; numerical example; magnetic potential; magnetic field; variational formulation; convergence; finite element method; numerical example; magnetic potential},
language = {eng},
number = {2},
pages = {147-159},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a certain two-sided symmetric condition in magnetic field analysis and computations},
url = {http://eudml.org/doc/32973},
volume = {42},
year = {1997},
}

TY - JOUR
AU - Melkes, František
AU - Ženíšek, Alexander
TI - On a certain two-sided symmetric condition in magnetic field analysis and computations
JO - Applications of Mathematics
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 2
SP - 147
EP - 159
AB - 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.
LA - eng
KW - magnetic field; variational formulation; two-sided existence and uniqueness condition; finite element method; convergence; finite element method; numerical example; magnetic potential; magnetic field; variational formulation; convergence; finite element method; numerical example; magnetic potential
UR - http://eudml.org/doc/32973
ER -

References

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  10. Variational Principles and Methods of Electromagnetic Theory, Academia, Prague, 1988. (Czech) (1988) 
  11. Die Ermittlung stationärer magnetischer Felder in elektrischen Maschinen, IX. Internat. Kolloquium TH, Ilmenau, 1966. (1966) 
  12. Efficient techniques for finite element analysis of electric machines, IEEE Trans., PAS-92 (1973), 1274–1281. (1973) 
  13. Two-dimensional magnetic field analysis using edge elements, Proc. of the Third Japanese-Czech-Slovak Joint Seminar on Applied Electromagnetics, Prague, 1995, pp. 53–56. (1995) 
  14. Numerical solution of the quasilinear Poisson equation in a non-uniform triangle mesh, LRL Livermore California, 1967, pp. 149–172. (1967) MR0241008
  15. 10.1007/s002110050151, Numer. Math. 71 (1995), 399–417. (1995) MR1347576DOI10.1007/s002110050151

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