Title :
Periodic and Anti-Periodic Boundary Conditions With the Lagrange Multipliers in the FEM
Author :
Aubertin, M. ; Henneron, Thomas ; Piriou, F. ; Guérin, P. ; Mipo, J.-C.
Author_Institution :
Valeo Electr. Syst., Creteil, France
Abstract :
An approach based on the double Lagrange multipliers is developed using the finite element method in order to impose complex periodic or anti-periodic boundary conditions. The magnetostatic equations are solved using the vector or scalar potential formulations. In order to show the possibilities of the proposed approach, an example of application is studied and the results are discussed.
Keywords :
Lagrangian field theory; electromagnetic devices; finite element analysis; magnetostatics; FEM; Lagrange multipliers; antiperiodic boundary conditions; electromagnetic device; finite element method; magnetostatic equations; periodic boundary conditions; scalar potential formulations; vector; Boundary conditions; Current density; Equations; Finite element methods; Inductors; Lagrangian functions; Magnetic domains; Magnetic flux; Magnetostatics; Testing; Finite element method; Lagrange multipliers approach; periodic or anti-periodic boundary conditions; potential formulation;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2046723
