A new spectral domain technique for the calculation of eigenvalues in curvilinear coordinates

Author

Dehler, Micha ; Weiland, Thomas

Author_Institution

Fachgebiet Theorie Elektromagnetischer Felder, Tech. Hochschule Darmstadt, Germany

Volume

30

Issue

5

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

3574

Lastpage

3577

Abstract

We describe a new algorithm, used to decompose the system matrices of Finite Differences and Finite Integration into their high and low spectral parts. This is done by representing the matrix in terms of a new set of basis vectors in a sub space of the solution space excluding a priori large eigenvalues. The resulting mapping is symmetric and so contains orthogonal eigenvectors. The use of this method for the calculation of resonant frequencies yields a strong reduction of the algebraic condition and the solution time

Keywords

eigenvalues and eigenfunctions; finite difference methods; integration; matrix algebra; spectral-domain analysis; Finite Differences; Finite Integration; algebraic condition; algorithm; basis vectors; curvilinear coordinates; eigenvalues; orthogonal eigenvectors; resonant frequencies; solution time; spectral domain technique; symmetric mapping; system matrices decomposition; Algorithm design and analysis; Eigenvalues and eigenfunctions; Electromagnetic fields; Equations; Finite difference methods; Material properties; Mesh generation; Permeability; Permittivity; Resonant frequency;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.312711

Filename

312711