DocumentCode
1397635
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
Volume
36
Issue
4
fYear
2000
fDate
7/1/2000 12:00:00 AM
Firstpage
1561
Lastpage
1564
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;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.877737
Filename
877737
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