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Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents

In: Handbook of Geomathematics

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  • Christian Gerhards

    (University of Kaiserslautern, Geomathematics Group, Department of Mathematics)

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.

Suggested Citation

  • Christian Gerhards, 2010. "Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents," Springer Books, in: Willi Freeden & M. Zuhair Nashed & Thomas Sonar (ed.), Handbook of Geomathematics, chapter 18, pages 539-563, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-01546-5_18
    DOI: 10.1007/978-3-642-01546-5_18
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