Title :
Algebraic multigrid methods for magnetostatic field problems
Author :
Reitzinger, Stefan ; Kaltenbacher, Manfred
Author_Institution :
Inst. of Comput. Math., Linz Univ., Austria
fDate :
3/1/2002 12:00:00 AM
Abstract :
The finite-element (FE) method, which will be used for the discretization of three-dimensional magnetostatic field problems, usually yields a large and sparse matrix equation. For different FE-discretizations (i.e., Lagrange and Nedelec FE-functions) we will present appropriate algebraic multigrid solvers (preconditioners) for the efficient solution of the arising system of equations. Numerical results will demonstrate the applicability of the developed algebraic multigrid methods
Keywords :
finite element analysis; magnetic fields; sparse matrices; Lagrange function; Nedelec function; algebraic multigrid method; finite element method; numerical discretization; preconditioner; sparse matrix; three-dimensional magnetostatic field; Finite element methods; Iterative methods; Lagrangian functions; Linear systems; Magnetostatics; Maxwell equations; Multigrid methods; Sparse matrices; Symmetric matrices; Vectors;
Journal_Title :
Magnetics, IEEE Transactions on
