Hybrid numerical-analytical scheme for 3D scattering problems

Hybrid numerical-analytical approaches are currently being developed to obtain computationally efficient solutions based on linking the numerical solution in a local vicinity of the source and/or obstacles with an explicit analytical representation in the outer semi-infinite domain. However, the standard commercial FEM packages do not provide a direct opportunity for such a coupling. To avoid this limitation, a specific mathematical trick was invented and developed. The present paper gives examples of its extension to the case of 3D scattering.