Abstract

3D magnetotelluric modeling requires solving low-frequency plane wave electromagnetic induction problems. A mixed finite element method is proposed for computing the electric field in a 3D conductivity model of the Earth for plane wave source. The scheme augments curl-curl equation utilizing the Helmholtz decomposition of the electrical field into its divergence-free and curl-free components, and enforces explicitly the continuity condition of current density into the boundary-value problem. The discretization of the mixed formulation leads to a linear system in symmetric saddle point form. Numerical examples show that the method is numerically stable.

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