Edge-based finite element approach to the simulation of geoelectromagnetic induction in a 3-D sphere

Physics – Geophysics

Scientific paper

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Geomagnetism And Paleomagnetism: Geomagnetic Induction, Mathematical Geophysics: Numerical Solutions

Scientific paper

We present a new simulator based on an edge-based finite element method (FEM) for computing the global-scale electromagnetic (EM) induction responses in a 3-D conducting sphere excited by an external source current for a variety of frequencies. The formulation is in terms of the magnetic vector potential. The edge-element approach assigns the degrees of freedom to the edges rather than to the nodes of the element. This edge-element strictly satisfies the discontinuity of the normal boundary conditions without considering the enforced normal boundary conditions that are usually practiced in a node-based FEM. To verify our simulation code, we compare our results with those of other solvers for two test computations, corresponding to azimuthally symmetric and asymmetric models. The results are in good agreement with one another.

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