The numerical method for 2D Helmholtz equation in complicated regions

The new method for numerical solving of difference boundary value problem for Helmholtz equation in complicated 2D regions is suggested and comparison with existing methods is discussed. The method is based on the application of Fast Fourier Transformation (FFT) in the rectangle containing the considered region. It´s shown that the method suggested demonstrates high efficiency and accuracy in compare with most of known algorithms for solving of the problem of such kind.