Finite element formulations for exterior problems: application to hybrid methods,non-reflecting boundary conditions,and infinite elements

We develop formulations for finite element computation of exterior acoustics problems. A prominent feature of the formulations is the lack of integration over the unbounded domain, simplifying the task of discretization and potentially leading to numerous additional benefits. These formulations provide a suitable basis for hybrid asymptotic-numerical methods in scattering, non-reflecting boundary conditions and infinite elements. © 1997 John Wiley & Sons, Ltd.