Infinitely many formulations using the magnetic vector potential with the Coulomb gauge for 3D field calculations
T. Morisue
Abstract
T. Morisue
Abstract
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.>
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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.>
Key concepts: Vector potential, Physics, Magnetic potential, Magnetic field, Gauge (firearms), Coulomb, Electric potential, Gauge fixing