标题： 无界域上表面声波方程的一种高效数值方法 显示英文标题

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

摘要： 声表面波（SAW）器件在现代通信设备中被广泛应用，而SAW方程描述了SAW器件中声-电转换的关键物理过程。 由于这些方程通常是定义在无界域上的三维问题，因此对其进行数值求解极具挑战性。 本文首先采用完全匹配层方法截断无界域，然后基于截断域的周期性结构提出了一种用于截断方程的有限元撕裂与交错算法。 同时，我们还设计了一个有效的求解器来解决由离散化产生的拉格朗日乘子的病态线性系统。 进行了若干数值实验以证明所提出的算法的有效性。 显示英文摘要

摘要： 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.