Non-linear magnetostatic adaption using a "local field error" approach

This paper presents new developments relevant to error estimate and mesh adaption procedures based on the "local field error" approach for linear and non-linear magnetostatic problems in 2D. The error problem is solved "locally" on each element of the mesh under analysis using an "edge element" description. Boundary conditions for local problems are derived from the jump in the normal derivatives of the vector potential at inter-element boundaries and from physical constraints on the field. The procedure has been successfully tested, even in problems of industrial complexity; some of the obtained results are presented and discussed.