Iterative solution techniques for hybrid finite-element spectral-element models

Author

De Gersem, Herbert ; Clemens, Markus ; Weiland, Thomas

Author_Institution

Dept. of Electr. Eng. & Inf. Technol., Tech. Univ. Darmstadt, Germany

Volume

39

Issue

3

fYear

2003

fDate

5/1/2003 12:00:00 AM

Firstpage

1717

Lastpage

1720

Abstract

Hybrid finite-element (FE) spectral-element (SE) discretizations combine a FE model part represented by a system of equations with an SE model part solved by Fourier transform. Specialized iterative solution techniques are developed based on Schur complements, matrix-free techniques, fast Fourier transforms and domain-decomposition-type preconditioners. Numerical experiments, e.g., for a superconductive dipole magnet, indicate that hybrid FE-SE models equipped with these special solvers outperform their classical full FE counterparts.

Keywords

fast Fourier transforms; finite element analysis; iterative methods; superconducting magnets; Schur complements; domain-decomposition-type preconditioners; fast Fourier transforms; hybrid finite-element spectral-element models; iterative solution techniques; matrix-free techniques; superconductive dipole magnet; Finite element methods; Geometry; Iron; Magnetic domains; Magnetostatics; Partial differential equations; Solid modeling; Superconducting magnets; Superconductivity; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2003.810544

Filename

1198564