Title :
Algebraic multigrid method for solving 3D nonlinear electrostatic and magnetostatic field problems
Author :
Kaltenbacher, M. ; Reitzinger, S. ; Schöberl, J.
Author_Institution :
Dept. of Sensor Technol., Erlangen-Nurnberg Univ., Germany
fDate :
7/1/2000 12:00:00 AM
Abstract :
A recently developed robust Algebraic Multigrid (AMG) method for the efficient solution of 3D nonlinear electrostatic and magnetostatic field problems is presented. The method is directed to large matrix equations which arise from finite element (FE) discretization where AMG is used as a preconditioner in the preconditioned conjugate gradient (PCG) method. Numerical results will demonstrate the applicability of the developed AMG method
Keywords :
conjugate gradient methods; differential equations; electrostatics; finite element analysis; magnetostatics; 3D nonlinear electrostatic field problems; 3D nonlinear magnetostatic field problems; algebraic multigrid method; finite element discretization; large matrix equations; preconditioned conjugate gradient method; Electric potential; Electrostatics; Finite element methods; Linear systems; Magnetic materials; Magnetostatics; Multigrid methods; Nonlinear equations; Symmetric matrices; Vectors;
Journal_Title :
Magnetics, IEEE Transactions on
