Spherical decompositions in a global and local framework: theory and an application to geomagnetic modeling

DOI10.1007/s13137-010-0011-9zbMath1301.86018OpenAlexW2008361743MaRDI QIDQ476208

Christian Gerhards

Publication date: 28 November 2014

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

Full work available at URL: https://doi.org/10.1007/s13137-010-0011-9

zbMATH Keywords

Green's functionpotential theoryHelmholtz decompositionionospheric currentsMie decomposition

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Boundary value problems on manifolds (58J32) Approximation by other special function classes (41A30) Geophysics (86A99)

Related Items (8)

LOCALLY SUPPORTED WAVELETS FOR THE SEPARATION OF SPHERICAL VECTOR FIELDS WITH RESPECT TO THEIR SOURCES ⋮ Mathematical methods in geothermy ⋮ Spherical decomposition of electromagnetic fields generated by quasi-static currents ⋮ On the unique reconstruction of induced spherical magnetizations ⋮ Ill-Posed Problems: Operator Methodologies of Resolution and Regularization ⋮ Geodetic Observables and Their Mathematical Treatment in Multiscale Framework ⋮ Spherical Potential Theory: Tools and Applications ⋮ Mathematik als Schlüsseltechnologie zum Verständnis des Systems ``Tiefe Geothermie

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