A formula for the magnetostatic energy of a finite magnet is proven. Incontrast to common approaches, the new energy identity does not rely onevaluation of a nonlocal boundary integral inside the magnet or the solution ofan equivalent Dirichlet problem. The formula is therefore computationallyefficient. Algorithms for the simulation of magnetic materials could benefitfrom incorporating the presented representation of the energy. In addition, anatural analogue for the energy via the magnetic induction is given. Proofs arecarried out within a setting which is suitable for common discretizations incomputational micromagnetics.
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