Numerical Investigation of penalty factor for coulomb gauge of magnetic vector potential for 3D magnetostatic fields

摘要

In this paper the penalty function method for restraining the Coulomb gauge of magnetic vector potential in the finite element analysis of magnetic fieldproblems is introduced. The Galerkin form of method of weighted residual equations for the corresponding boundary value problems is derived. Some numerical properties of the penalty factor for the Coulomb gauge are investigated by a FEM modeling. Those include the improvement of the property of the FEM matrix equation system, the satisfaction of divergence-free of the magnetic vector potential, and the effect on the solution of the magnetic problem.