A brief note on the computation of silent from nonsilent contributions of spatially localized magnetizations on a sphere

DOI10.1007/s13137-020-00161-zzbMath1462.31012OpenAlexW3100182589MaRDI QIDQ2023285

Christian Gerhards

Publication date: 3 May 2021

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13137-020-00161-z

zbMATH Keywords

spherical harmonicsvector field decompositiongradient of a harmonic functioninverse magnetization problem

Mathematics Subject Classification ID

Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (1)

Relation between Hardy components for locally supported vector fields on the sphere

Cites Work

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• Hardy-Hodge decomposition of vector fields in ℝⁿ
• Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions
• On the reconstruction of inducing dipole directions and susceptibilities from knowledge of the magnetic field on a sphere

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