Mapped infinite elements for the solution of open electric and magnetic field problems

In the analysis of field problems, cases with open boundaries often arise. The finite element method, frequently used for the numerical solution of field problems, is naturally adequate for closed boundary problems; however, the definition of infinite elements can overcome such limitation. In this paper, mapped infinite elements are used to solve open boundary field problems defined in terms of a scalar potential in two dimensions. The details of the computer implementation are presented, as well as alternatives for the automatic extension of the mesh; the scheme is applied to the solution of a magnetostatic problem in open space.