A new posteriori error estimation concept for three-dimensional finite element solution

The three-dimensional finite element method (FEM) has been widely applied for the practical analysis of electromagnetic fields. However, numerical error estimation methods which focus on the governing equations of electromagnetic fields, not FEM formulations, have been reported in few papers. This paper proposes a new posteriori error estimation concept based on Ampere's circuital law which is one of the basic equations of electromagnetic fields. Numerical error is quantitatively estimated as the current value which should be equivalent to the exciting current of the field.