A Fast Optimization Algorithm of FEM/BEM Simulation for Periodic Surface Acoustic Wave Structures

• Main Authors: Honglang Li, Zixiao Lu, Yabing Ke, Yahui Tian, Wei Luo
• Format: Article
• Language: English
• Published: MDPI AG 2019-02-01
• Series: Information
• Subjects: surface acoustic wave; finite element method/boundary element method (FEM/BEM); piezoelectric phononic crystals
• Online Access: https://www.mdpi.com/2078-2489/10/3/90

The accurate analysis of periodic surface acoustic wave (SAW) structures by combined finite element method and boundary element method (FEM/BEM) is important for SAW design, especially in the extraction of couple-of-mode (COM) parameters. However, the time cost is very large. With the aim to accelerate the calculation of SAW FEM/BEM analysis, some optimization algorithms for the FEM and BEM calculation have been reported, while the optimization for the solution to the final FEM/BEM equations which is also with a large amount of calculation is hardly reported. In this paper, it was observed that the coefficient matrix of the final FEM/BEM equations for the periodic SAW structures was similar to a Toeplitz matrix. A fast algorithm based on the Trench recursive algorithm for the Toeplitz matrix inversion was proposed to speed up the solution of the final FEM/BEM equations. The result showed that both the time and memory cost of FEM/BEM was reduced furtherly.