A Locally Corrected Nyström Formulation for the Magnetostatic Volume Integral Equation

A locally corrected Nyström discretization of the magnetostatic volume integral equation is derived for the analysis of magnetic materials. The integral equation formulation incorporates both higher-order meshes and higher-order basis functions. A set of arbitrary order, hexahedral basis functions are presented. The formulation is applied to a set of canonical problems as well as TEAM Workshop problem number 13. Error convergence with respect to basis function order, mesh density, and mesh order is investigated, and results corroborate the formulation.