Overlapping finite elements used to connect non-conforming meshes in 3-D with a vector potential formulation

Guillaume Krebs (1) , Thomas Henneron , Stéphane Clenet , Yann Le Bihan (1)

1 LGEP - Laboratoire de génie électrique de Paris

Overlapping elements can be used to connect non-conforming meshes in the finite-element method. This approach has been developed with the scalar potential formulation and used to solve magnetostatic problems but not in the case of the vector potential formulation. In this paper, we propose to introduce the overlapping element method in this second formulation.

Guillaume Krebs, Thomas Henneron, Stéphane Clenet, Yann Le Bihan. Overlapping finite elements used to connect non-conforming meshes in 3-D with a vector potential formulation. IEEE Transactions on Magnetics, 2011, 47 (5), pp.1218-1221. ⟨10.1109/TMAG.2010.2074189⟩. ⟨hal-00712477⟩