A novel finite analytic element method for solving eddy current problems with moving conductors

A novel finite analytic element method (FAEM) is presented. The basic idea of the method is the incorporation of local analytic solution of the governing equation in the finite element method, A local analytical solution satisfying its nodal conditions is found in each element and is used for determining the shape functions. Then, a weighted residuals scheme is followed to yield the linear algebraic equations. The presented FAEM is applied to solve 1-D and 2-D eddy current problems with moving conductors. Because the problem's analytical features have been considered, the solution in each element is approximated closely and the spurious oscillations which occur in the ordinary Galerkin solutions are avoided. High accuracy is obtained with no need of very fine meshes.