{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:34:11Z","timestamp":1760240051337,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2019,2,28]],"date-time":"2019-02-28T00:00:00Z","timestamp":1551312000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program","doi-asserted-by":"publisher","award":["2016YFB0402705"],"award-info":[{"award-number":["2016YFB0402705"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Program of Chinese Academy of Sciences","award":["KFZD-SW-415"],"award-info":[{"award-number":["KFZD-SW-415"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11574106"],"award-info":[{"award-number":["11574106"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Fundamental Research Projects of Shenzhen City","award":["JCYJ20150831202835225"],"award-info":[{"award-number":["JCYJ20150831202835225"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/info10030090","type":"journal-article","created":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T03:33:00Z","timestamp":1551411180000},"page":"90","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A Fast Optimization Algorithm of FEM\/BEM Simulation for Periodic Surface Acoustic Wave Structures"],"prefix":"10.3390","volume":"10","author":[{"given":"Honglang","family":"Li","sequence":"first","affiliation":[{"name":"Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China"}]},{"given":"Zixiao","family":"Lu","sequence":"additional","affiliation":[{"name":"Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100190, China"}]},{"given":"Yabing","family":"Ke","sequence":"additional","affiliation":[{"name":"Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7160-5777","authenticated-orcid":false,"given":"Yahui","family":"Tian","sequence":"additional","affiliation":[{"name":"Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China"}]},{"given":"Wei","family":"Luo","sequence":"additional","affiliation":[{"name":"School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan 430074, China"},{"name":"Shenzhen Institute of Huazhong University of Science and Technology, Shenzhen 518000, China"}]}],"member":"1968","published-online":{"date-parts":[[2019,2,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Tancrell, R.H., and Holland, M.G. 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