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

Alexandra Christophe (1) , Laurent Santandrea (1) , Francesca Rapetti (2) , Guillaume Krebs (1) , Yann Le Bihan (1)

1 LGEP - Laboratoire de génie électrique de Paris
2 JAD - Laboratoire Jean Alexandre Dieudonné

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.

Mots clés: FEMs; interface conditions; Maxwell equations; nondestructive testing; overlapping meshes

Domaines: Physique [physics]

Alexandra Christophe, Laurent Santandrea, Francesca Rapetti, Guillaume Krebs, Yann Le Bihan. An Overlapping Nonmatching Grid Mortar Element Method for Maxwell's Equations. IEEE Transactions on Magnetics, 2014, 50 (2), pp.Article 7010004. ⟨10.1109/TMAG.2013.2282034⟩. ⟨hal-01093403⟩