I'm attempting to solve the Poisson equation in 3D for a magnetic vector potential in the presence of a current source. To validate my code, I'm initially looking to reproduce the model described in the following pair of papers:
N. Demerdash, T. Nehl and F. Fouad, "Finite element formulation and analysis of three dimensional magnetic field problems," in IEEE Transactions on Magnetics, vol. 16, no. 5, pp. 1092-1094, September 1980. doi: 10.1109/TMAG.1980.1060817 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1060817&isnumber=22843
N. A. Demerdash, F. A. Fouad, T. W. Nehl and O. A. Mohammed, "Three Dimensional Finite Element Vector Potential Formulation of Magnetic Fields in Electrical Apparatus," in IEEE Transactions on Power Apparatus and Systems, vol. PAS-100, no. 8, pp. 4104-4111, Aug. 1981. doi: 10.1109/TPAS.1981.317005. URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4111101&isnumber=4111054
Alongside the following parameters:
- 20 Amps of current.
- Wire is of type AWG #16 with 861 turns
- Winding Height (Z axis): 8.89cm
- Outer Boundary Cross Section: 15.24 cm x 15.24 cm
- Inner Boundary Cross Section: 10.42 cm x 10.42 cm
I also know that the current density should be homogeneous in a specific element. In this model Jz = 0 throughout and I know J = N*I / A, where A is the cross sectional area, N the number of turns and I the current.