Numerical studies on structure-preserving algorithms for surface acoustic wave simulations

Tsung Ming Huang, Tiexiang Li, Wen Wei Lin, Chin Tien Wu

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

We study the generalized eigenvalue problems (GEPs) derived from modeling the surface acoustic wave in piezoelectric materials with periodic inhomogeneity. The eigenvalues appear in the reciprocal pairs due to periodic boundary conditions in the modeling. By transforming the GEP into a T-palindromic quadratic eigenvalue problem (TPQEP), the reciprocal relationship of the eigenvalues can be maintained. In this paper, we outline four recently developed structure-preserving algorithms, SA, SDA, TSHIRA and GTSHIRA, for solving the TPQEP. Numerical comparisons on the accuracy and the computational costs of these algorithm are presented. The eigenvalues close to unit circle on the complex plane are of interest in the area of filter and sensor designs. Our numerical results show that the Arnoldi-type structure-preserving algorithms TSHIRA and GTSHIRA with "re-symplectic" and "re-bi- isotropic" processes, respectively, are as accurate as the SA and SDA algorithms, and more efficient in finding these eigenvalues.

原文英語
頁(從 - 到)140-154
頁數15
期刊Journal of Computational and Applied Mathematics
244
發行號1
DOIs
出版狀態已發佈 - 2013

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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