Title :
A mixed face-edge finite element formulation for 3D magnetostatic problems
Author :
Alotto, P. ; Delfino, F. ; Molfino, P. ; Nervi, M. ; Perugia, I.
Author_Institution :
Dipt. di Ingegneria Elettrica, Genoa Univ., Italy
fDate :
9/1/1998 12:00:00 AM
Abstract :
A mixed variational formulation for the solution of three dimensional magnetostatic problems, based on both the magnetic field H and the magnetic induction field B, has been developed. The approach is based upon the minimisation of the residual in the fulfilment of the constitutive relationship, imposing Maxwell´s equations as constraints. A finite element discretisation has been realised by using face and edge elements to interpolate B and H, respectively, in order to guarantee the physical continuity properties. The mathematical formulation, its code development and computational results are presented and discussed in detail
Keywords :
Maxwell equations; finite element analysis; magnetic fields; magnetostatics; variational techniques; 3D magnetostatic problems; Maxwell´s equations; finite element discretisation; magnetic field; magnetic induction field; mixed face-edge finite element formulation; physical continuity properties; variational formulation; Boundary conditions; Differential equations; Finite element methods; Lagrangian functions; Magnetic analysis; Magnetic fields; Magnetostatics; Maxwell equations; Permeability; Testing;
Journal_Title :
Magnetics, IEEE Transactions on
