Magnetohydrodynamics in a domain bounded by a spherical surface: A Fourier-spectral element approximation involving a Dirichlet to Neumann operator for the resolution of the exterior problem

We present a Fourier-spectral element approximation of electromagnetic induction (and magnetohydrodynamics) in a domain bounded by a spherical interface. The electromagnetic problem is cast in terms of electromagnetic potentials, the uniqueness of which is enforced by the choice of Coulomb's gauge. A PN - PN-2 approach ensures the solenoidal...