“…This standard method may not necessarily reflect the correct amount of maximum free energy released during a solar flare, since the magnetic field in the photospheric boundary B(x, y, z phot ) may change during a flare (e.g., see measurements by Wang et al, 1994Wang et al, , 2002Wang et al, , 2013Wang, 1997Wang, , 2006Wang and Liu, 2010). Another problem with NLFFF codes using the photospheric vector field is the non-force-freeness of the lower chromosphere (Metcalf et al, 1995;DeRosa et al, 2009), which however, can be ameliorated by preprocessing the magnetic boundary data, using chromospheric field measurements (e.g., Metcalf et al, 2005;Jing et al, 2010), or by a multigrid optimization that minimizes a joint measure of the normalized Lorentz force and the divergence of the magnetic field, as proposed by Wiegelmann (2004) and applied by Jing et al, (2009).…”