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We consider the magnetic induction equation for the evolution of a
magnetic field in a plasma where the velocity is given. The aim is
to design a numerical scheme which also handles the divergence
constraint in a suitable manner. We design and analyze an upwind
scheme based on the symmetrized version of the equations in the
non-conservative form. The scheme is shown to converge to a weak
solution of the equations. Furthermore, the discrete divergence
produced by the scheme is shown to be...
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