Finite-element approach with localized functionals for magnetic field computations

A variational approach employing localized functionals is introduced to solve magnetic field problems with an open boundary. The approach requires functionais for domain integral of the finite element region only and then for the boundary integral of the interfacial boundary between the finite and infinite element regions. This is possible by transforming the domain integral of the infinite element region into the interfacial boundary integral. The approach is applied to a simple linear two-dimensional problem; the numerical results are obtained and compared with the analytic solutions. It is observed that the approach is a powerful means for solving the magnetic field problems with an open boundary resulting in the savings in memory size and computation time.