Title :
Mixed finite element method for magnetostatics in R3
Author :
Bandelier, Bernard ; Rioux-Damidau, Fransoise
Author_Institution :
Univ. de Paris-Sud, Orsay, France
fDate :
9/1/1998 12:00:00 AM
Abstract :
We present a mixed formulation for magnetostatics with magnetic field H and magnetic vector potential A as state variables. H is interpolated with edge elements and A with facet elements. The solution of the discretized problem is unique. However, the matrix of the system of equations is ill-conditioned. We give an efficient algorithm to solve it and present numerical results for Problem 13 of TEAM Workshop which show the good accuracy provided by this method
Keywords :
finite element analysis; interpolation; magnetostatics; matrix algebra; algorithm; edge elements; facet elements; interpolation; magnetic field; magnetic vector potential; magnetostatics; matrix; mixed finite element method; numerical discretization; Current density; Finite element methods; Inductors; Integral equations; Magnetic domains; Magnetic fields; Magnetostatics; Maxwell equations; Permeability; Testing;
Journal_Title :
Magnetics, IEEE Transactions on
