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Handbook of Geomathematics pp 539–563Cite as

Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents

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Abstract

This chapter reports on the recent application of multiscale techniques to the modeling of geomagnetic problems. Two approaches are presented: a spherical harmonics-oriented one, using frequency packages, and a spatially oriented one, using regularizations of the single layer kernel and Green’s function with respect to the Beltrami operator. As an example both approaches are applied to the separation of the magnetic field with respect to interior and exterior sources and the reconstruction of radial ionospheric currents.

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Author information

Authors and Affiliations

  1. Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany

    Christian Gerhards

Authors
  1. Christian Gerhards
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Editors and Affiliations

  1. Geomathematics Group, Technische Universität Kaiserslautern, 3049, 67653, Kaiserslautern, Germany

    Willi Freeden

  2. Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA

    M. Zuhair Nashed

  3. Computational Mathematics, Technische Universität Braunschweig, Pockelsstraße 14, 38106, Braunschweig, Germany

    Thomas Sonar

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Gerhards, C. (2010). Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents. In: Freeden, W., Nashed, M.Z., Sonar, T. (eds) Handbook of Geomathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01546-5_18

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