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
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
  • [41] An efficient computation of the inverse of the single layer matrix for the resolution of the linear elasticity problem in BEM
    Ndjansi, Lionel Ouya
    Tchoualag, Laurent
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2023, 49 (03)
  • [42] Topology optimization of nonlinear magnetostatics
    Wang, S
    Kang, J
    IEEE TRANSACTIONS ON MAGNETICS, 2002, 38 (02) : 1029 - 1032
  • [43] An efficient computation of the inverse of the single layer matrix for the resolution of the linear elasticity problem in BEM
    Lionel Ouya Ndjansi
    Laurent Tchoualag
    Advances in Computational Mathematics, 2023, 49
  • [44] An optimum design problem in magnetostatics
    Henrot, A
    Villemin, G
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2002, 36 (02): : 223 - 239
  • [45] A DOUBLY PERIODIC PROBLEM OF MAGNETOSTATICS
    TOLMACHEV, ST
    USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1983, 23 (06): : 75 - 79
  • [46] ON THE RESOLUTION OF THE INVERSE PROBLEM FOR THE LOGARITHMIC POTENTIAL
    PINCHON, D
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 127 (01) : 261 - 284
  • [47] Stochastic resolution of the LHC inverse problem
    Balazs, Csaba
    Kahawala, Dilani
    SUSY09: THE 17TH INTERNATIONAL CONFERENCE ON SUPERSYMMETRY AND THE UNIFICATION OF FUNDAMENTAL INTERACTIONS, 2009, 1200 : 482 - +
  • [48] LINEAR LAVRENT'EV INTEGRAL EQUATION FOR THE NUMERICAL SOLUTION OF A NONLINEAR COEFFICIENT INVERSE PROBLEM
    V. Klibanov, Michael
    LI, Jingzhi
    Zhang, Wenlong
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2021, 81 (05) : 1954 - 1978
  • [49] LINEAR AND NONLINEAR APPROACHES TO SOLVE THE INVERSE PROBLEM - APPLICATIONS TO POSITRON-ANNIHILATION EXPERIMENTS
    HOFFMANN, L
    SHUKLA, A
    PETER, M
    BARBIELLINI, B
    MANUEL, AA
    NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1993, 335 (1-2): : 276 - 287
  • [50] IMPROVEMENT OF RESOLUTION FUNCTION AS AN INVERSE PROBLEM
    ZHIGUNOV, VP
    NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH, 1983, 216 (1-2): : 183 - 190