An efficient numerical method for surface acoustic wave equations over unbounded domains

Surface acoustic wave (SAW) devices are widely used in modern communication equipment and SAW equations describe the critical physical processes of acoustic-electric conversion in SAW devices. It is very challenging to numerically solve such equations, since they are typically three dimensional problems defined on unbounded domains. In this paper, we first use the perfectly matched layer method to truncate the unbounded domain and then propose a finite element tearing and interconnecting algorithm for the truncated equations based on the periodic structure of the truncated domain. We also design an effective solver for the ill-conditioned linear system of the Lagrange multipliers arising from discretization. Several numerical results are performed to demonstrate the efficiency of the proposed algorithm.