Title :
Fast finite element solvers for problems with magnetic materials
Author_Institution :
Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada
fDate :
11/1/1993 12:00:00 AM
Abstract :
Fast algebraic system solvers utilizing multilevel (multigrid) preconditioners are applied to two-dimensional problems with highly permeable magnetic materials. Numerical experiments show that the number of iterations is virtually independent of the material properties. As the number of nodes in the finite element mesh increases, only mild logarithmic growth of the number of iterations is observed, which makes multilevel preconditioners numerically more efficient than the traditional methods
Keywords :
finite element analysis; iterative methods; magnetic permeability; finite element solvers; iterations; logarithmic growth; magnetic materials; multigrid preconditioners; multilevel preconditioners; permeable magnetic materials; two-dimensional problems; Arithmetic; Computational efficiency; Councils; Finite element methods; Iterative methods; Linear systems; Magnetic materials; Magnetostatics; Neodymium; Robustness;
Journal_Title :
Magnetics, IEEE Transactions on