Title :
A Novel Algebraic Multigrid Preconditioning for Large-Scale Edge-Element Analyses
Author :
Mifune, Takeshi ; Iwashita, Takeshi ; Shimasaki, Masaaki
Author_Institution :
Dept. of Electr. Eng., Kyoto Univ.
fDate :
4/1/2007 12:00:00 AM
Abstract :
The algebraic multigrid (AMG) method is an efficient preconditioner for large-scale finite element analyses. However, in edge-element analyses, the large null space of the coefficient matrices causes difficulties in applying AMG techniques. Here, we present a new AMG preconditioning for edge-element analyses. Numerical results demonstrate a promising performance for our proposed preconditioner
Keywords :
computational electromagnetics; differential equations; finite element analysis; matrix algebra; algebraic multigrid preconditioning; coefficient matrix; finite element analysis; large-scale edge-element analysis; Character generation; Equations; Finite element methods; Iterative methods; Large-scale systems; Linear systems; Magnetic analysis; Magnetostatics; Null space; Vectors; Algebraic multigrid (AMG); edge-elements; finite element method (FEM); preconditioning;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.891420
