Multifrequency simulation for acoustics Original Research Article

A frequency-stepping algorithm for solving multifrequency (acoustic) wave propagation is considered. A two-grid method is employed for the problems of single frequency. For high frequency applications, the coarse grid problem is still huge, since one has to choose at least six to eight grid points per wavelength for a stability reason. The coarse grid problem is solved by a nonoverlapping domain decomposition (DD) method. The solution of the former frequency problem is used as the initial guess for the solution of the next larger frequency problem. Such an algorithm turns out to be efficient for multifrequency, as well as single-frequency problems, as shown in numerical results. Also, it is easily parallelizable with a high efficiency.