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
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页码:687 / 697
页数:11
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