A New Method for Minimizing the Bandwidth and Profile of Square Matrices for Triangular Finite Elements Mesh

Author

Boutora, Youcef ; Takorabet, Noureddine ; Ibtiouen, Rachid ; Mezani, Smaïl

Author_Institution

Ecole Nat. Polytechnique d´´Alger, El-Harrach

Volume

43

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

1513

Lastpage

1516

Abstract

The authors present a new efficient node´s numbering method for minimizing the bandwidth and the profile of the stiffness matrix for Cholesky´s solving of triangular finite element problems. This method is applied for renumbering the mesh nodes. It is suitable for movement consideration in electrical machines modelling using the moving band method. This method has a simple formulation and is easy to implement, and its performances are compared to those provided by the Gibbs, Poole, and Stockmeyer (GPS) method

Keywords

electric machines; matrix algebra; mesh generation; Cholesky stiffness matrix; Gibbs Poole Stockmeyer method; electrical machines; mesh nodes; moving band method; node numbering method; space matrix profiles; triangular finite element mesh; Bandwidth; Differential equations; Finite element methods; Global Positioning System; Helium; Iterative methods; Matrix decomposition; Partial differential equations; Sparse matrices; Symmetric matrices; Finite element method; profile; sparse matrices;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2007.891460

Filename

4137673