An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions

Abstract We introduce a Schwarz waveform relaxation algorithm for the convection diffusion equation. Conversely to the classical Schwarz method, this new algorithm converges without overlap of the subdomains. And it has a fast convergence due to the optimization of the convergence rate. Numerical results illustrate the effectiveness of this method.