Adaptive mesh generation in 2D magnetostatic integral formulations

A new type of adaptive h-version mesh refinement associated with magnetostatic integral formulations is proposed. In this method the magnetic field due to a locally estimated error in the magnetization is integrated in a region where high accuracy is required, such as in the air gap. This remote error (i.e. the contribution of each element to the error in a remote region) is then used to determine the need for the element subdivision. The presented results indicate that the magnetic fields in the apertures of the dipole and quadrupole magnets can be computed with high accuracy using small number of elements.