Abstract:
In my talk I will address a problem of efficient frequency-domain simulations of electromagnetic (EM) field in a media (Earth) with three-dimensional (3-D) distribution of electrical conductivity. The media is excited by electric currents of a given location and morphology. The simulations exploit a particular class of volume integral equations (IE) - the IE with contracting kernel, which possesses a remarkable property: its system matrix is well-conditioned irrespective of discretization, frequency and contrasts of conductivity. After introducing and discussing the IE concept I will demonstrate how the formalism works in practice. In particular, I will show the results of global 3-D simulation of EM signals due to oceanic tides.