Geodesic
Solution behaviour of non-linear magnetostatic problem around ferromagnetic's corner point
Matematičeskoe modelirovanie, Tome 15 (2003) no. 4, pp. 77-84

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A non-linear boundary value problem was studied in a corner domain. This problem aroze from seeking for the distribution of magnetic field. Numerical methods are usually used to solve such a problem, therefore it was important to study the solutions smoothness around a corner point. Non-linear problems in this aspect are not studied enough. However, simular investigations were performed for linear problems. In one of our previous papers we considered a quasi-linear magnetostatic problem. In this paper we consider a case of non-linear boundary-value magnetostatic problem and give the proof of the theorem about finiteness around a corner point. 
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     author = {E. P. Zhidkov and E. E. Perepelkin},
     title = {Solution behaviour of non-linear magnetostatic problem around ferromagnetic's corner point},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {77--84},
     publisher = {mathdoc},
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     number = {4},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_4_a5/}
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E. P. Zhidkov; E. E. Perepelkin. Solution behaviour of non-linear magnetostatic problem around ferromagnetic's corner point. Matematičeskoe modelirovanie, Tome 15 (2003) no. 4, pp. 77-84. http://geodesic.mathdoc.fr/item/MM_2003_15_4_a5/