A new approach solving the interface error problem of finite element field calculation methods by means of fictitious interface current sheets or interface charges

Strong formulation using FDS, weak formulation using FEM and experimental data

“…Figure 5 shows the Ht repartition in the air, along the interface [ab], in function of the number of linear elements. Such results have an effect on the computation of the magnetic force densities [2] [3] [4]. Table II shows also the evolution of the ratio with the quadratic elements.…”

Magnetic Field Continuity Conditions in Finite-Element Analysis

“…In each region, the magnetic field density B and magnetic field intensity H are linked (2) B =µH + J P (1) where J P is the magnetic polarization and µ is the permeability of the material. J P is null vector except in the magnet and has only one component along the vertical (Oy) axis.…”

“…T HE normal component of the magnetic flux density B and the tangential component of the magnetic field strength H satisfy the field continuity conditions at the interface of two media of different permeability values. It has been known that in finite-element method (FEM) there are interface error problems due to the fact that only one continuity condition is imposed strongly by FEM [1], [2]. This paper analyses in a simple device these interface error problems.…”