Face-Based Gradient Smoothing Point Interpolation Method Applied to 3-D Electromagnetics

Author

Lima, Naisses Z. ; Mesquita, R.C.

Author_Institution

Grad. Program in Electr. Eng., Fed. Univ. of Minas Gerais, Belo Horizonte, Brazil

Volume

50

Issue

2

fYear

2014

fDate

Feb. 2014

Firstpage

537

Lastpage

540

Abstract

This paper presents the face-based gradient smoothing point interpolation method (FS-PIM), a numerical method derived from the PIM that solves 3-D boundary value problems. FS-PIM is supported by the theory of G-space, weakened-weak formulations and the gradient smoothing operation. The method is applied in the analysis of electrostatic problems. The obtained results show that both convergence rate and accuracy of the approximation generated by FS-PIM are better than the ones presented by the finite element method, indicating that the technique is suitable for electromagnetic applications.

Keywords

boundary-value problems; electromagnetism; electrostatics; gradient methods; interpolation; smoothing methods; 3D boundary value problems; 3D electromagnetics; FS-PIM; G-space theory; convergence rate; electrostatic problems; face-based gradient smoothing point interpolation method; numerical method; weakened-weak formulations; Convergence; Electrostatics; Finite element analysis; Interpolation; Micromotors; Smoothing methods; 3-D; gradient smoothing; meshless methods; point interpolation method (PIM); weakened-weak form;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2013.2280968

Filename

6748961