Numerical differentiation of Laplacian 3-D FE solutions by using regular polyhedra quadrature of Poisson integrals

Author

Coco, Salvatore ; Laudani, Antonino

Author_Institution

Dipt. Elettrico, Elettronico e Sistemistico, Catania Univ., Italy

Volume

37

Issue

5

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

3104

Lastpage

3107

Abstract

An efficient numerical procedure to compute accurately derivatives of three-dimensional (3-D) Finite Element (FE) solutions to Laplacian electromagnetic problems is presented. The technique adopted is based on the combined use of Poisson Integrals and an innovative quadrature approach, exploiting symmetry properties by using as integration points vertices of regular polyhedra. The postprocessing procedure gets highly accurate results with a modest computational effort if compared with standard integration techniques. It has been found by comparison against known analytical functions that only few points are needed to reach a high degree of accuracy

Keywords

Laplace equations; differentiation; electromagnetic field theory; finite element analysis; integral equations; physics computing; signal processing; 3D Laplacian solutions; Laplacian electromagnetic problems; Poisson integrals; finite element solution; numerical differentiation; postprocessing; regular polyhedra quadrature; vertices; Current density; Electromagnetic fields; Finite element methods; Gaussian processes; Integral equations; Iron; Kernel; Laplace equations; Magnetic fields; Performance evaluation;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.952553

Filename

952553