Abstract:

A numerical method was proposed for time harmonic scattering of an open cavity. The computational domain was partitioned firstly. Then on subdomains FourierBessel functions and plane wave functions were used to approximate the local properties of the solution, and scattered field toward infinite was approximated by a multipole expansion. Then the continuity across the inner interfaces between elements was enforced by the least squares scheme. Finally, the effectiveness of the approach was demonstrated by numerical example.

Key words:  Helmholtz equation, FourierBessel functions, plane waves, multipole expansion