Computed Basis Functions and the Nonconforming Voxel Finite-Element Method

The nonconforming voxel finite-element method (NVFEM) is an alternative to conventional mesh generation that uses purely rectangular elements. Its main drawback is the need to approximate boundaries that would otherwise pass through the interior of the elements. Using computed basis functions, boundaries inside elements are permitted. Results for magnetostatic problems demonstrate the improved accuracy of the method, compared with conventional NVFEM.