Title :
A fast solving strategy for two-dimensional skin effect problems
Author :
Alfonzetti, Salvatore ; Borzì, Giuseppe ; Salerno, Nunzio
Author_Institution :
Dipt. di Ingegneria Elettrica, Elettronica e dei Sistemi, Catania Univ., Italy
fDate :
5/1/2003 12:00:00 AM
Abstract :
The authors show that the global matrix in the finite element integro-differential formulation of two-dimensional skin effect problems can be partitioned into the sum of a sparse matrix and a product of two equal arrays for each conductor of the multiconductor system. This partition allows both a great memory saving and a drastic reduction in the conjugate gradient solution time.
Keywords :
conjugate gradient methods; finite element analysis; integro-differential equations; skin effect; sparse matrices; conductor array; conjugate gradient technique; finite element method; global matrix; integro-differential formulation; multiconductor system; sparse matrix; two-dimensional skin effect; Computational efficiency; Conductors; Current density; Finite element methods; Integral equations; Integrodifferential equations; Magnetic analysis; Skin effect; Sparse matrices; Symmetric matrices;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2003.810326