| Title:
|
Convergence of a method for solving the magnetostatic field in nonlinear media (English) |
| Author:
|
Kačur, Jozef |
| Author:
|
Nečas, Jindřich |
| Author:
|
Polák, Josef |
| Author:
|
Souček, Jiří |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
13 |
| Issue:
|
6 |
| Year:
|
1968 |
| Pages:
|
456-465 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
magnetostatic field in nonlinear media |
| Keyword:
|
weak solution |
| MSC:
|
35D30 |
| MSC:
|
35Q60 |
| MSC:
|
78A30 |
| MSC:
|
78M25 |
| idZBL:
|
Zbl 0187.11903 |
| DOI:
|
10.21136/AM.1968.103195 |
| . |
| Date available:
|
2008-05-20T17:43:46Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103195 |
| . |
| Reference:
|
[1] Nečas Jindřich: Les méthodes directes en théorie des équations elliptiques.Academia, Prague 1967. MR 0227584 |
| Reference:
|
[2] Nečas Jindřich, Poracká Zita: On Extremes of Functionals.Commentationes Mathematicae Universitatis Carolinae, Prague 1966. |
| Reference:
|
[3] Vajnberg M. M.: О сходимости процесса наискорейшего спуска для нелинейных уравнейний.Сибирский математический журнал, том II, № 2, 1961. Zbl 0206.14201 |
| Reference:
|
[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. |
| Reference:
|
[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. |
| Reference:
|
[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. |
| . |
