  The inaccuracy of the classical magnetic field integral equation (MFIE) is a
long-studied problem. We investigate one of the potential approaches to solve
the accuracy problem: higher-order discretization schemes. While these are able
to offer increased accuracy, we demonstrate that the accuracy problem may still
be present. We propose an advanced scheme based on a weak-form discretization
of the identity operator which is able to improve the high-frequency MFIE
accuracy considerably - without any significant increase in computational
effort or complexity.
