|
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 2, Pages 291–297
(Mi zvmmf3311)
|
|
|
|
This article is cited in 6 scientific papers (total in 6 papers)
Investigation of an equation of electrophysics
V. V. Dyakin, V. Ya. Raevskii Sverdlovsk
Abstract:
The vector integral equation
$$
\alpha\mathbf M+\nabla\int_\Omega\mathbf M\nabla|x-y|^{-1}\,dy=\mathbf H,\qquad\alpha\ge0,\quad\Omega\subset\mathbb R^3,
$$
encountered in classical problems of electrostatics and magnetostatics, is investigated. The structure and properties of its solutions are investigated by studying the corresponding integral operator, and a numerical method is proposed.
Received: 24.04.1989 Revised: 22.06.1989
Citation:
V. V. Dyakin, V. Ya. Raevskii, “Investigation of an equation of electrophysics”, Zh. Vychisl. Mat. Mat. Fiz., 30:2 (1990), 291–297; U.S.S.R. Comput. Math. Math. Phys., 30:1 (1990), 213–217
Linking options:
https://www.mathnet.ru/eng/zvmmf3311 https://www.mathnet.ru/eng/zvmmf/v30/i2/p291
|
Statistics & downloads: |
Abstract page: | 268 | Full-text PDF : | 93 | References: | 63 | First page: | 1 |
|