Using Dual Formulations for Correction of Thin Shell Magnetic Models by a Finite Element Subproblem Method

Abstract

Dual formulations for finite element magnetostatic and magnetodynamic sub-problems are developed to correct the inaccuracies near edges and corners of thin shell magnetic models. Such models replace volume thin regions by surfaces but neglect border effects in the vicinity of their edges and corners, which can cause inaccuracy in solving thin shell problems. The developed surface-to-volume correction problem is defined as a step of the multiple sub-problems applied to a complete problem (inducting and conducting regions), considering successive additions of inducting and magnetic or conducting regions, some of which are thin regions. Each sub-problem is independently solved on its own domain and mesh, which facilitates meshing and increases computational efficiency.