Space-time finite elements derived by convolution for the efficient solution of transient eddy current problems

Author

Butler, A.J. ; Cendes, Z.J.

Author_Institution

Carnegie-Mellon Univ., Pittsburgh, PA, USA

Volume

24

Issue

6

fYear

1988

fDate

11/1/1988 12:00:00 AM

Firstpage

2688

Lastpage

2690

Abstract

A procedure for transient-eddy-current analysis is reported that is more efficient than conventional methods. Convolution in the time domain is used to convert the time operator into a symmetric form. A projective method is used to approximate the solution in the time domain by nth-order polynomials. The result is a general prismatic space-time finite element that is defined for any order of discretization in both time and space. First- to third-order time-finite-element matrices are calculated and tabulated. The stability and convergence of the method has been demonstrated numerically. The solution of two test cases is presented: a simple problem in one spatial dimension and the two-dimensional Felix cylinder problem

Keywords

convergence; eddy currents; polynomials; stability; time-domain analysis; transients; convergence; convolution; polynomials; projective method; space-time finite elements; stability; symmetric form; time domain; time operator conversion; transient-eddy-current analysis; two-dimensional Felix cylinder problem; Convolution; Eddy currents; Equations; Finite element methods; Matrix converters; Polynomials; Stability; Symmetric matrices; Testing; Transient analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.92214

Filename

92214