Title :
Alternative vector potential formulations for magnetostatics
Author :
Yun, Z.Q. ; Tan, B.D. ; Huang, J.
Author_Institution :
State Key Lab. of MMW, Southeast Univ., Nanjing, China
fDate :
3/1/1997 12:00:00 AM
Abstract :
A generalized Laplace-Beltrami boundary value problem (BVP) is proposed and from which a vector BVP is derived. The new BVP is different from that derived from Maxwell´s equations in magnetostatics. Nevertheless, when the Coulomb (1981) gauge is applied we obtain a BVP of physical meanings. Theorems of uniqueness of solution are presented. It is shown that the two BVPs may have the same solutions and thus both of them can be taken as alternative and generalized formulations for the magnetostatics. Variational formulations for these two BVPs are also presented
Keywords :
Laplace equations; boundary-value problems; magnetostatics; variational techniques; BVP; Coulomb gauge; generalized Laplace-Beltrami boundary value problem; magnetostatics; theorems; unique solution; variational formulations; vector potential formulations; Boundary conditions; Boundary value problems; Educational technology; Electromagnetic fields; Finite element methods; Laplace equations; Magnetic analysis; Magnetostatics; Maxwell equations;
Journal_Title :
Magnetics, IEEE Transactions on
