Title :
Infinitely many formulations using the magnetic vector potential with the Coulomb gauge for 3D field calculations
Author :
Morisue, Toshiya
Author_Institution :
Dept. of Chem. Eng., Nagoya Univ., Japan
fDate :
3/1/1990 12:00:00 AM
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
Keywords :
finite element analysis; magnetic fields; numerical methods; 3D magnetostatic field; Coulomb gauge; energy functionals; finite-element method; infinitely many formulations; magnetic vector potential; Boundary conditions; Chemical engineering; Differential equations; Eddy currents; Finite element methods; Geometry; Hydrogen; Magnetostatics; Permeability; Testing;
Journal_Title :
Magnetics, IEEE Transactions on