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The coronal magnetic field cannot be directly observed, but in principle itcan be reconstructed from the comparatively well observed photospheric magneticfield. A popular approach uses a nonlinear force-free model. Non-magneticforces at the photosphere are significant meaning the photospheric data areinconsistent with the force-free model, and this causes problems with themodeling (De Rosa et al., Astrophys. J. 696, 1780, 2009). In this paper wepresent a numerical implementation of the Grad-Rubin method for reconstructingthe coronal magnetic field using a magnetostatic model. This model includes apressure force and a non-zero magnetic Lorentz force. We demonstrate ourimplementation on a simple analytic test case and obtain the speed andnumerical error scaling as a function of the grid size.

A Magnetostatic Grad-Rubin Code for Coronal Magnetic Field Extrapolations