Artificial damping techniques for scalar waves in the frequency domain

An artificial damping algorithm for solving the Helmholtz problem is considered. When the imaginary part of the wave number is small, the problem is known to be difficult to solve. In this paper, we propose an efficient artificial damping algorithm which can be viewed as a rational iteration. Each damped problem is solved incompletely by a nonoverlapping domain decomposition method. Convergence arguments are presented. Numerical results run on an nCUBE2 are presented to demonstrate the effectiveness of the method.