On the well-posedness of direct and inverse problems of magnetostatics. Part I

被引:0
|
作者
V. V. Dyakin
O. V. Kudryashova
V. Ya. Raevskii
机构
[1] Russian Academy of Sciences,Mikheev Institute of Physics of Metals, Ural Branch
关键词
fundamental equation of magnetostatics; direct and inverse problem; well-posedness of problem; magnetic nondestructive testing;
D O I
暂无
中图分类号
学科分类号
摘要
In the first part of the article, the well-posedness of the problem of solving the fundamental equation of magnetostatics is analyzed. The errors in determining the resultant magnetic-field strength inside and outside a magnet from this equation are estimated depending on the inaccuracies in setting such initial equation parameters as external field strength, magnetic permeability, and the magnet shape.
引用
收藏
页码:505 / 513
页数:8
相关论文
共 50 条
  • [1] 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
  • [2] 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
  • [3] On the Well-Posedness of the Direct and Inverse Problem of Magnetostatics. Part 2
    Dyakin, V. V.
    Kudryashova, O. V.
    Rayevskii, V. Ya.
    RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING, 2018, 54 (10) : 687 - 697
  • [4] On the Well-posedness of Bayesian Inverse Problems
    Latz, Jonas
    SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 2020, 8 (01): : 451 - 482
  • [5] ON WELL-POSEDNESS OF INVERSE MIXED VARIATIONAL INEQUALITY PROBLEMS
    Mahalik, K.
    Nahak, C.
    Agarwal, Ravi p.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (11) : 2451 - 2472
  • [6] WELL-POSEDNESS OF INVERSE STURM-LIOUVILLE PROBLEMS
    HOCHSTADT, H
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1977, 23 (03) : 402 - 413
  • [7] The Bayesian formulation and well-posedness of fractional elliptic inverse problems
    Trillos, Nicols Garcia
    Sanz-Alonso, Daniel
    INVERSE PROBLEMS, 2017, 33 (06)
  • [8] Well-posedness and inverse problems for semilinear nonlocal wave equations
    Lin, Yi-Hsuan
    Tyni, Teemu
    Zimmermann, Philipp
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2024, 247
  • [9] Criteria of the Uniqueness of Solutions and Well-Posedness of Inverse Source Problems
    Kostin A.B.
    Journal of Mathematical Sciences, 2018, 230 (6) : 907 - 949
  • [10] WELL-POSEDNESS OF INVERSE PROBLEMS FOR SYSTEMS WITH TIME DEPENDENT PARAMETERS
    Banks, H. T.
    Pedersen, M.
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2009, 34 (1D): : 39 - 58