Title :
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
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2013.2282034
