Convergence of a method for solving the magnetostatic field in nonlinear media

Jozef Kačur; Jindřich Nečas; Josef Polák; Jiří Souček

Aplikace matematiky (1968)

  • Volume: 13, Issue: 6, page 456-465
  • ISSN: 0862-7940

Abstract

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For solving the boundary-value problem for potential of a stationary magnetic field in two dimensions in ferromagnetics it is possible to use a linearization based on the succesive approximations. In this paper the convergence of this method is proved under some conditions.

How to cite

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Kačur, Jozef, et al. "Convergence of a method for solving the magnetostatic field in nonlinear media." Aplikace matematiky 13.6 (1968): 456-465. <http://eudml.org/doc/14567>.

@article{Kačur1968,
abstract = {For solving the boundary-value problem for potential of a stationary magnetic field in two dimensions in ferromagnetics it is possible to use a linearization based on the succesive approximations. In this paper the convergence of this method is proved under some conditions.},
author = {Kačur, Jozef, Nečas, Jindřich, Polák, Josef, Souček, Jiří},
journal = {Aplikace matematiky},
keywords = {magnetostatic field in nonlinear media; weak solution; magnetostatic field in nonlinear media; weak solution},
language = {eng},
number = {6},
pages = {456-465},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Convergence of a method for solving the magnetostatic field in nonlinear media},
url = {http://eudml.org/doc/14567},
volume = {13},
year = {1968},
}

TY - JOUR
AU - Kačur, Jozef
AU - Nečas, Jindřich
AU - Polák, Josef
AU - Souček, Jiří
TI - Convergence of a method for solving the magnetostatic field in nonlinear media
JO - Aplikace matematiky
PY - 1968
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 13
IS - 6
SP - 456
EP - 465
AB - For solving the boundary-value problem for potential of a stationary magnetic field in two dimensions in ferromagnetics it is possible to use a linearization based on the succesive approximations. In this paper the convergence of this method is proved under some conditions.
LA - eng
KW - magnetostatic field in nonlinear media; weak solution; magnetostatic field in nonlinear media; weak solution
UR - http://eudml.org/doc/14567
ER -

References

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  1. Nečas Jindřich, Les méthodes directes en théorie des équations elliptiques, Academia, Prague 1967. (1967) MR0227584
  2. Nečas Jindřich, Poracká Zita, On Extremes of Functionals, Commentationes Mathematicae Universitatis Carolinae, Prague 1966. (1966) 
  3. Vajnberg M. M., О сходимости процесса наискорейшего спуска для нелинейных уравнейний, Сибирский математический журнал, том II, № 2, 1961. (1961) Zbl0206.14201
  4. De Giorgi Ennio, Sulla differenziabilità е l'analytica delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Nab. 3, 1957. (1957) 
  5. Bruck H., Gendrean G., Établissement, á l'aide de la cuve rhéographique à fond modèle, de la carte du champ dans la culasse d'un aimant, Actes - Journées Internationales du calcul analogique - sept. 1955. Bruxelles - Belgique 1966. (1955) 
  6. Mayer Daniel, Kahoun Václav, Vyšetření rozložení magnetického pole v kostře stejnosměrného stroje, (Examination of the Distribution of the Magnetic Field in the Frame of a DC Machine.) Sborník prací VŠSE v Plzni za rok 1964. (1964) 

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