A scaled wave finite element method for computing scalar wave radiation and scattering in exterior domains

The calculation of high-frequency wave radiation in exterior domains by finite element methods can lead to large computations. In this paper, it is shown that the solution domain be decomposed as a series expansion functions with an analytical part made from product harmonic waves and polynomials scaled variable numerical approximation vector. or scattering problem found solving sparse linear system which set dynamic stiffness matrices several layers around radiating body. These are classical obtained any software. Moreover, accurate results small number terms expansion. Several examples given estimate efficiency proposed method.