On the Well-Posedness of the Direct and Inverse Problem of Magnetostatics. Part 2

被引:3
|
作者
Dyakin, V. V. [1 ]
Kudryashova, O. V. [1 ]
Rayevskii, V. Ya. [1 ]
机构
[1] Russian Acad Sci, Mikheev Inst Met Phys, Ural Branch, Ekaterinburg 620137, Russia
关键词
basic equation of magnetostatics; inverse problem of magnetostatics; well-posedness of problem; magnetic nondestructive testing; SPATIAL-DISTRIBUTION; FINITE DEFECT; FIELD; FLAW; RECONSTRUCTION; PARAMETERS;
D O I
10.1134/S1061830918100030
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The main (mathematical) reason is given for the possible nonuniqueness of solution to the inverse problem of magnetostatics, which consists in reconstructing the geometrical and/or physical parameters of a magnet based on a known (measured) resultant magnetic field outside it. Examples of both unique and (essentially) ambiguous solutions to this problem are given. Some techniques for eliminating the nonuniqueness by proper arrangement of the measurement experiment are provided.
引用
收藏
页码:687 / 697
页数:11
相关论文
共 50 条
  • [1] On the Well-Posedness of the Direct and Inverse Problem of Magnetostatics. Part 2
    V. V. Dyakin
    O. V. Kudryashova
    V. Ya. Rayevskii
    Russian Journal of Nondestructive Testing, 2018, 54 : 687 - 697
  • [2] On the well-posedness of direct and inverse problems of magnetostatics. Part I
    Dyakin, V. V.
    Kudryashova, O. V.
    Raevskii, V. Ya.
    RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING, 2017, 53 (07) : 505 - 513
  • [3] On the well-posedness of direct and inverse problems of magnetostatics. Part I
    V. V. Dyakin
    O. V. Kudryashova
    V. Ya. Raevskii
    Russian Journal of Nondestructive Testing, 2017, 53 : 505 - 513
  • [4] Well-posedness of a parabolic inverse problem
    Yu W.
    Acta Mathematicae Applicatae Sinica, 1997, 13 (3) : 329 - 336
  • [5] On the well-posedness of the inverse nodal problem
    Law, CK
    Tsay, J
    INVERSE PROBLEMS, 2001, 17 (05) : 1493 - 1512
  • [6] CONDITIONAL WELL-POSEDNESS FOR AN ELLIPTIC INVERSE PROBLEM
    Knowles, Ian
    Larussa, Mary A.
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2011, 71 (04) : 952 - 971
  • [7] Investigation of Well-Posedness for a Direct Problem for a Nonlinear Fractional Diffusion Equation and an Inverse Problem
    Aribas, Oezge
    Golgeleyen, Ismet
    Yildiz, Mustafa
    FRACTAL AND FRACTIONAL, 2024, 8 (06)
  • [8] Well-Posedness of the Split Inverse Variational Inequality Problem
    Rong Hu
    Ya Ping Fang
    Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40 : 1733 - 1744
  • [9] Well-posedness of the inverse source problem for parabolic systems
    Prilepko, AI
    Tkachenko, DS
    DIFFERENTIAL EQUATIONS, 2004, 40 (11) : 1619 - 1626
  • [10] Well-Posedness of the Split Inverse Variational Inequality Problem
    Hu, Rong
    Fang, Ya Ping
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (04) : 1733 - 1744