According to the integral relationship between the vector magnetic flux density on a spatial point and that over a closed surface around magnetic sources,a technique for the extrapolation of vector magnetic field of a ferromagnetic object is given without computing scalar potential and its gradient. The vector magnetic flux density on a remote spatial point can be extrapolated by surface integral from the vector values over a closed measureed surface around the ferromagnetic object. The correctness of the technique testified by a special example and simulation. The experimented result shows that its accuracy is satisfying and the execution time is less than 1 second.
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