Resolution of a linear and a nonlinear inverse problem in magnetostatics

被引：1
|
作者：
Bégot, S
Artioukhine, E
Hiebel, P
Kauffmann, JM
机构：
[1] IGE, L2ES LRE T 31, F-90000 Belfort, France
[2] IGE, CREST, UMR 6000, F-90000 Belfort, France
来源：
EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS | 2002年 / 19卷 / 02期
关键词：
Current density - Inverse problems - Iterative methods - Magnetic fields - Magnetic resonance imaging - Magnets - Numerical methods - Optical resolving power;
D O I：
10.1051/epjap:2002060
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
This paper deals with the solution of inverse problems in magnetostatics. The cases the authors have broached are finding the current density or positions of air coils on the basis of magnetic field measurements. These problems are ill-posed, so regularization techniques are needed. The authors discuss the main iterative regularization principles, and the stability issues of these inverse problems. This method is applied to MRI magnets. Numerical results are presented.
引用
收藏
页码：141 / 150
页数：10
相关论文
共 50 条
  • [1] THE SOLUTION OF THE NONLINEAR INVERSE PROBLEM OF MAGNETOSTATICS BY THE REGULARIZATION METHOD
    ZHIDKOV, EP
    KUTS, IV
    POLYAKOVA, RV
    SHELAEV, IA
    YUDIN, IP
    USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1989, 29 (02): : 203 - 207
  • [2] On the inverse problem of magnetostatics
    Shur, M. L.
    Novoslugina, A. P.
    Smorodinskii, Ya. G.
    RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING, 2013, 49 (08) : 465 - 473
  • [3] On the inverse problem of magnetostatics
    M. L. Shur
    A. P. Novoslugina
    Ya. G. Smorodinskii
    Russian Journal of Nondestructive Testing, 2013, 49 : 465 - 473
  • [4] Direct and inverse problem of magnetostatics
    Dyakin, VV
    RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING, 1996, 32 (03) : 179 - 182
  • [5] Inverse Problem of Magnetostatics in Saturation Fields
    V. V. Dyakin
    O. V. Kudryashova
    V. Ya. Raevskii
    Russian Journal of Nondestructive Testing, 2019, 55 : 746 - 755
  • [6] A method of solving the inverse problem of magnetostatics
    Pechenkov, AN
    Shcherbinin, VE
    RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING, 1999, 35 (10) : 789 - 790
  • [7] Inverse Problem of Magnetostatics in Saturation Fields
    Dyakin, V. V.
    Kudryashova, O., V
    Raevskii, V. Ya
    RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING, 2019, 55 (10) : 746 - 755
  • [8] Solving the Inverse Geometric Problem of Magnetostatics for Corrosion Defects with Allowance for Nonlinear Properties of Ferromagnet
    Gobov, Yu. L.
    Nikitin, A. V.
    Popov, S. E.
    RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING, 2018, 54 (12) : 849 - 854
  • [9] Solving the Inverse Geometric Problem of Magnetostatics for Corrosion Defects with Allowance for Nonlinear Properties of Ferromagnet
    Yu. L. Gobov
    A. V. Nikitin
    S. E. Popov
    Russian Journal of Nondestructive Testing, 2018, 54 : 849 - 854
  • [10] Solving the Inverse Geometric Problem of Magnetostatics for Corrosion Defects
    Yu. L. Gobov
    A. V. Nikitin
    S. E. Popov
    Russian Journal of Nondestructive Testing, 2018, 54 : 726 - 732
12345