A predictor-corrector scheme for open boundary problems

Author

Aiello, G. ; Alfonzetti, S. ; Borzi, G. ; Salerno, N.

Author_Institution

Dipt. Elettrico, Elettronico e Sistemistico, Catania Univ., Italy

Volume

34

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

2573

Lastpage

2576

Abstract

In this paper an iterative finite-element procedure is described for the solution of nonlinear time-varying eddy current problems in open boundaries, A fictitious boundary delimiting a bounded domain is introduced. At each discrete time, two algebraic systems are set up and solved for the predictor and corrector solutions. Both these systems are solved iteratively by assuming a first guess for the Dirichlet condition on the fictitious boundary and improving it by making use of the free-space Green´s function until convergence takes place. A great reduction of computing time is obtained with respect to the solution with a Newton-Raphson solver

Keywords

Green´s function methods; eddy currents; finite element analysis; iterative methods; predictor-corrector methods; Dirichlet condition; algebraic systems; bounded domain; free-space Green´s function; iterative finite-element procedure; nonlinear time-varying eddy current problems; open boundary problems; predictor-corrector scheme; Boundary conditions; Boundary element methods; Conductivity; Conductors; Current density; Eddy currents; Electrostatics; Finite element methods; Green´s function methods; Magnetic fields;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.717594

Filename

717594