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In earlier works we introduced and tested a nonlinear force-free (NLFF)method designed to self-consistently calculate the free magnetic energy and therelative magnetic helicity budgets of the corona of observed solar magneticstructures. The method requires, in principle, only a single, photospheric orlow-chromospheric, vector magnetogram of a quiet-Sun patch or an active regionand performs calculations in the absence of three-dimensional magnetic andvelocity-field information. In this work we strictly validate this method usingthree-dimensional coronal magnetic fields. Benchmarking employs both synthetic,three-dimensional magnetohydrodynamic simulations and nonlinear force-freefield extrapolations of the active-region solar corona. We find that ourtime-efficient NLFF method provides budgets that differ from those of moredemanding semi-analytical methods by a factor of ~3, at most. This differenceis expected from the physical concept and the construction of the method.Temporal correlations show more discrepancies that, however, are soundlyimproved for more complex, massive active regions, reaching correlationcoefficients of the order of, or exceeding, 0.9. In conclusion, we argue thatour NLFF method can be reliably used for a routine and fast calculation of freemagnetic energy and relative magnetic helicity budgets in targeted parts of thesolar magnetized corona. As explained here and in previous works, this is anasset that can lead to valuable insight into the physics and the triggering ofsolar eruptions.

Validation and Benchmarking of a Practical Free Magnetic Energy and Relative Magnetic Helicity Budget Calculation in Solar Magnetic Structures