  A numerical method of solving the problem of acoustic wave radiation in the
presence of a rigid scatterer is described. It combines the finite element
method and the boundary algebraic equations. In the proposed method, the
exterior domain around the scatterer is discretized, so that there appear an
infinite domain with regular discretization and a relatively small layer with
irregular mesh. For the infinite regular mesh, the boundary algebraic equation
method is used with spurious resonance suppression according to Burton and
Miller. In the thin layer with irregular mesh, the finite element method is
used. The proposed method is characterized by simple implementation, fair
accuracy, and absence of spurious resonances.
