Geodesic
Modeling of a magnetic field of sources localised within a sphere and beyond
Matematičeskoe modelirovanie, Tome 27 (2015) no. 8, pp. 111-126

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We propose three types of formulas for decomposing/reconstructing a magnetic field of magnetic masses and closed electric currents, which are either in a sphere or outside it. A magnetic field can be reconstructed everywhere using the data of continuous observations (or sparse data in approximation theory) about magnetic intensity on sphere surface.
Keywords: magnetic field in sphere, decomposition theorems, data on the sphere surface. 
@article{MM_2015_27_8_a7,
     author = {V. V. Aksenov},
     title = {Modeling of a magnetic field of sources localised within a sphere and beyond},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {111--126},
     publisher = {mathdoc},
     volume = {27},
     number = {8},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_8_a7/}
}
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V. V. Aksenov. Modeling of a magnetic field of sources localised within a sphere and beyond. Matematičeskoe modelirovanie, Tome 27 (2015) no. 8, pp. 111-126. http://geodesic.mathdoc.fr/item/MM_2015_27_8_a7/