Time-domain, spectral finite-element approach to transient 2-D geomagnetic induction in a spherical heterogeneous Earth

Details Time-domain, spectral finite-element approach to transient 2-D geomagnetic induction in a spherical heterogeneous Earth Time-domain, spectral finite-element approach to transient 2-D geomagnetic induction in a spherical heterogeneous Earth

Oct 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003geoji.155...33m&link_type=abstract

Geophysical Journal International, Volume 155, Issue 1, pp. 33-43.

Statistics

Computation

4

Scientific paper

A time-domain, spectral finite-element approach is presented for computing the electromagnetic induction response of a 2-D heterogeneous conducting sphere to transient external current excitation. This method is appropriate for determining the induced spatiotemporal electromagnetic signature at satellite altitudes associated with the upper and mid-mantle conductivity heterogeneities. The new approach is based on an existing frequency-domain 2-D spectral finite-element technique modified by the implementation of a time-stepping algorithm. To validate the time-domain approach and the associated numerical code, transient responses of concentrically and eccentrically nested spheres to ring-current excitations are computed using the inverse Fourier transform of analytical and semi-analytical, frequency-domain solutions. We show that the time-domain approach is particularly appropriate when the external current excitation has a transient feature. Compared with the frequency-domain method, it may significantly reduce the computation time while maintaining the time resolution.

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