The 2D Magnetostatics Inverse Problem for a Uniformly Magnetized Body
Source abstract
Abstract
Abstract We consider the 2D magnetostatics inverse problem for a uniformly magnetized body and reduce it to a nonlinear 1D integrodifferential equation determining the body (cavity) shape based on the measured strength of the external magnetic field. We design a numerical algorithm for solution of this equation based on minimization of a function of several variables and develop a FORTRAN program implementing this algorithm. To test and illustrate our approach we find a solution for the cross section of a homogeneous infinite cylinder in a nonmagnetic and opaque medium based on the known strength of the external field.
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Research context
OpenAlex topics: Non-Destructive Testing Techniques · Geophysical and Geoelectrical Methods · Numerical methods in inverse problems
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (28)
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