Результаты поиска по 'the behavior of solutions in the corner domain':
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  1. publication_info"> Yudin I.P., Panacik V.A., Perepelkin E.E., Petersky A.N., Polyakova R.V.
    Peculiar features of numerical modeling of the modified spectrometer magnet field
    Computer Research and Modeling, 2015, v. 7, no. 1, pp. 93-105

    In this work, we propose a method of the numerical solution of the magnetostatic problem for domains with boundaries containing corners. With the help of this numerical method, the magnetic systems of rectangular configuration were simulated with high accuracy. In particular, the calculations of some modifications of the magnetic system SP-40 used in the NIS JINR experimental installation, are presented. The basic feature of such a magnet is a rectangular aperture, hence, the area in which the boundary-value problem is solved, has a smooth border everywhere, except for a finite number of angular points in the vicinity of which the border is formed by crossing two smooth curves. In such cases the solution to the problem or derivatives of the solution can have a special feature. A behavior of the magnetic field in the vicinity of an angular point is investigated, and the configuration of the magnet was chosen numerically. The width of the area of homogeneity of the magnetic field increased from 0.5 m up to 1.0 m, i. e. twice.

    Keywords: magnet systems, mathematical modeling, boundary value problem, elliptic equations, the behavior of solutions in the corner domain.
    Citations: 1 (RSCI).
  2. publication_info"> Perepelkin E.E., Nyanina L.A., Polyakova R.V., Sysoev P.N., Panacik V.A., Yudin I.P.
    Construction of adaptive mesh in the domain with boundary «corner point» of ferromagnetic in the numerical simulation of magnetic systems
    Computer Research and Modeling, 2016, v. 8, no. 1, pp. 89-99

    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 behaviour 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.
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