New RPQ Formulas for the Numerical Differentiation of 3-D Finite Element Solutions of Electromagnetic Problems

Author

Coco, Salvatore ; Laudani, Antonino

Author_Institution

Catania Univ.

Volume

43

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

1529

Lastpage

1532

Abstract

In this paper, we present new regular polyhedra quadrature (RPQ) formulas to compute more efficiently and accurately derivatives of 3-D finite element (FE) solutions of electromagnetic problems. This new version of the RPQ formulas employs a reduced number of integration points, leading not only to a drastic reduction of the computational effort, but also to a substantial increase of accuracy. An accuracy test is presented in order to show the advantages of the new formulas

Keywords

computational electromagnetics; differentiation; finite element analysis; integration; 3D finite element solutions; computational effort reduction; electromagnetic problems; integration points; numerical differentiation; regular polyhedra quadrature formulas; Electromagnetic analysis; Electromagnetic forces; Finite element methods; Gaussian processes; Joining processes; Laplace equations; Performance evaluation; Space charge; Testing; Finite element (FE) method; numerical differentiation; postprocessing; regular polyhedra quadrature (RPQ);

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2007.891462

Filename

4137697