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JOURNALS // Computer Research and Modeling // Archive

Computer Research and Modeling, 2016 Volume 8, Issue 1, Pages 89–99 (Mi crm131)

MODELS IN PHYSICS AND TECHNOLOGY

Construction of adaptive mesh in the domain with boundary «corner point» of ferromagnetic in the numerical simulation of magnetic systems

E. E. Perepelkin, L. A. Nyanina, R. V. Polyakova, P. N. Sysoev, V. A. Panasik, I. P. Yudin

Joint Institute for Nuclear Research, Dubna, Moscow region

Abstract: At numerical solving of the boundary-value problem of magnetostatic in a domain with a boundary corner point, a question of accuracy of the obtained solution near the corner point of ferromagnetic arises [Zhidkov, Perepelkin, 2001]. Near the corner point an essential growth of the module of the magnetic field can take place, which leads to the necessity of constructing special numerical algorithms when solving the boundary-value problem. This work represents an algorithm of constructing an adaptive mesh in the domain with a boundary corner point of ferromagnetic taking into account the character of behavior of the solution of the boundary-value problem. An example of calculating a model problem in the domain containing a corner point is given.

Keywords: magnet systems, mathematical modeling, boundary value problem, elliptic equations, the behavior of solutions in the corner domain.

UDC: 519.8

Received: 28.01.2015
Revised: 09.07.2015

DOI: 10.20537/2076-7633-2016-8-1-89-99



© Steklov Math. Inst. of RAS, 2024