Efficient Solution of Skin-Effect Problems by Means of the GMRES-Accelerated FEM-BEM Method

Author

Aiello, Giovanni ; Alfonzetti, Salvatore ; Borzi, Giuseppe ; Dilettoso, Emanuele ; Salerno, Nunzio

Author_Institution

Dipt. di Ing. Elettr., Elettron. e dei Sist., Univ. di Catania, Catania

Volume

44

Issue

6

fYear

2008

fDate

6/1/2008 12:00:00 AM

Firstpage

1274

Lastpage

1277

Abstract

This paper shows that the global system of linear equations in the hybrid finite element method/boundary element method (FEM-BEM) solution of open-boundary skin effect problems can be efficiently solved by means of the generalized minimal residual (GMRES) solver. This solver is applied virtually to the reduced system of equations in which the unknowns are the nodal values of the normal derivative of the magnetic vector potential on the fictitious truncation boundary. In each step of the GMRES algorithm, the solution of the FEM equations is performed by means of the standard complex conjugate gradient solver, whereas the BEM equations are not solved but used to perform fast matrix-by-vector multiplications. The BEM equations are written in a nonconventional way, by making the nodes for the potential noncoinciding with the nodes for its normal derivative.

Keywords

boundary-elements methods; eddy currents; finite element analysis; skin effect; GMRES algorithm; GMRES-accelerated FEM-BEM method; eddy currents; fast matrix-by-vector multiplications; fictitious truncation boundary; generalized minimal residual solver; global system; hybrid finite element method/boundary element method; linear equations; magnetic vector potential; nodal values; open-boundary skin effect problems; standard complex conjugate gradient solver; Boundary element method; eddy currents; finite element method;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2007.916036

Filename

4526783