  We construct solutions of the magnetohydrostatic (MHS) equations in bounded
domains and on the torus in three spatial dimensions, as infinite time limits
of Voigt approximations of viscous, non-resistive incompressible
magnetohydrodynamics equations. The Voigt approximations modify the time
evolution without introducing artificial viscosity. We show that the obtained
MHS solutions are regular, nontrivial, and are not Beltrami fields.
