Corner modelization for FEM-BEM coupling

A method for solving geometrical singularities at the meeting point of n two-dimensional domains is presented. Problems encountered in magnetic field modeling are addressed. The coupling between the direct boundary-element method and the finite-element method involves knowledge of the vector potential and the tangential induction along the boundaries. Tangential induction is known to be singular at some geometrical entities such as corners. Moreover, a problem arises in defining normal and tangential field components, when the normal vector of the boundary is not unique. These problems arise in the general study of the meeting point of n domains or along a boundary where the boundary conditions are different. A practical formulation and a treatment of some degenerated cases are proposed.