An Overlapping Nonmatching Grid Mortar Element Method for Maxwell´s Equations

Author

Christophe, A. ; Santandrea, L. ; Rapetti, Francesca ; Krebs, G. ; Le Bihan, Yann

Author_Institution

Lab. de Genie Electr. de Paris, Univ. of Paris-Sud, Gif-sur-Yvette, France

Volume

50

Issue

2

fYear

2014

fDate

Feb. 2014

Firstpage

409

Lastpage

412

Abstract

In this paper, a new finite element mortar approach with moving nonmatching overlapping grids is introduced. The bidirectional transfer of information between the fixed and moving subdomains is realized for each new position of the moving part. Two numerical examples are presented to support the theory: 1) an electrostatic problem with known solution, to state the optimality of the method and 2) an eddy current nondestructive testing configuration, to underline the flexibility and efficiency of the proposed approach.

Keywords

Maxwell equations; eddy current testing; electrostatics; finite element analysis; Maxwell equations; bidirectional information transfer; eddy current nondestructive testing configuration; electrostatic problem; finite element mortar approach; fixed subdomain; moving nonmatching overlapping grids; moving part position; moving subdomain; overlapping nonmatching grid mortar element method; Accuracy; Convergence; Couplings; Eddy currents; Magnetic domains; Mathematical model; Mortar; FEMs; Maxwell equations; interface conditions; nondestructive testing; overlapping meshes;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2013.2282034

Filename

6748931