Infinitely many formulations using the magnetic vector potential with the Coulomb gauge for 3D field calculations

Infinitely many formulations using the magnetic vector potential are presented for the 3-D magnetostatic field problem which satisfy the Coulomb gauge and yield the same unique solution. The term 'infinitely-many' stems from the arbitrary nature of one parameter. Several of the formulations are compared numerically for a test problem. Further, the energy functionals corresponding to the formulations are presented for the finite-element method.<
>