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Matem. Mod., 1990, Volume 2, Number 9, Pages 10–20 (Mi mm2447)  

Computer experiment in science and engineering

About one approach for solution of the magnetostatic problem in hybrid formulation

E. P. Zhidkov, A. V. Fedorov, O. I. Yuldashev

Joint Institute for Nuclear Research

Abstract: An approach for construction of hybrid formulations of magneto static problem is developed. Only one boundary full matrix is required for numerical implementation of this class of formulations. One formulation for total scalar potential is investigated in the space of gradient functions. Uniqueness and existence of the solution and convergence of the Galerkin approximations are proved. Some results of 2D numerical experiments including solution of the nonlinear 2D problem are given.

Full text: PDF file (995 kB)

Bibliographic databases:
UDC: 519.642.6
Received: 09.04.1990

Citation: E. P. Zhidkov, A. V. Fedorov, O. I. Yuldashev, “About one approach for solution of the magnetostatic problem in hybrid formulation”, Matem. Mod., 2:9 (1990), 10–20

Citation in format AMSBIB
\Bibitem{ZhiFedYul90}
\by E.~P.~Zhidkov, A.~V.~Fedorov, O.~I.~Yuldashev
\paper About one approach for solution of the magnetostatic problem in hybrid formulation
\jour Matem. Mod.
\yr 1990
\vol 2
\issue 9
\pages 10--20
\mathnet{http://mi.mathnet.ru/mm2447}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1123424}
\zmath{https://zbmath.org/?q=an:0972.78509}


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