Faster magnetic field computation using locally orthogonal discretization

Because of their simplicity and flexibility, first order triangular finite elements are the most widely used type of finite element in magnetic field computation. However, in the first order finite element procedure, a relatively large number of mesh points is required to obtain good solutions. In order to overcome this difficulty, we propose a new method of magnetic field computation based on locally orthogonal discretizations. Memory requirements and solution times are dramatically reduced by the new method.