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
  • [21] 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
  • [22] 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
  • [23] Enhanced Nonlinear Inverse Scattering through Linear Super-Resolution Techniques
    Bozza, Giovanni
    Estatico, Claudio
    Nagy, James G.
    Pastorino, Matteo
    Randazzo, Andrea
    2008 IEEE INTERNATIONAL WORKSHOP ON IMAGING SYSTEMS AND TECHNIQUES, 2008, : 226 - +
  • [24] INPAINTING BY AN INVERSE PROBLEM RESOLUTION
    Mezhoudi, Djaafer
    Nouri, Fatma Zohra
    Spiteri, Pierre
    2014 18TH INTERNATIONAL CONFERENCE ON INFORMATION VISUALISATION (IV), 2014, : 298 - 301
  • [25] Synthesis of linear and nonlinear formulation of the inverse problem in gravity prospecting and magnetic prospecting
    Balk, P. I.
    Dolgal, A. S.
    Khristenko, L. A.
    GEOFIZICHESKIY ZHURNAL-GEOPHYSICAL JOURNAL, 2011, 33 (05): : 51 - 65
  • [26] THE INVERSE SCATTERING PROBLEM IN LINEAR ELASTICITY VIA A PAIR OF NONLINEAR INTEGRAL EQUATIONS
    Gintides, D.
    Midrinos, L.
    ADVANCED TOPICS IN SCATTERING THEORY AND BIOMEDICAL ENGINEERING, 2010, : 12 - 19
  • [27] An Affine Linear Solution of the Nonlinear Inverse Power Flow Problem in Resistive Networks
    Wachs, Martin
    Primbs, Miriam
    INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2025, 38 (02)
  • [28] Linear and nonlinear inverse scattering
    Sylvester, J
    Winebrenner, DP
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1998, 59 (02) : 669 - 699
  • [29] THE INVERSE SOURCE PROBLEMS OF MAGNETOSTATICS AND ELECTROSTATICS
    SEZGINER, A
    INVERSE PROBLEMS, 1987, 3 (04) : L87 - L91
  • [30] Method for Solving Inverse Geometric Problem of Magnetostatics for Surface Defects of a Soft Magnetic Ferromagnet
    A. V. Nikitin
    Yu. L. Gobov
    A. V. Mikhailov
    L. V. Mikhailov
    Russian Journal of Nondestructive Testing, 2022, 58 : 1107 - 1117
12345