Improved edge-based smoothed finite element method (IES-FEM) for Mid-frequency acoustic analysis

Z. C. He, G. Y. Li, Quan Bing Eric Li, G. Y. Zhang, Xin Nie

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The 3D ES-FEM using tetrahedral mesh proposed recently has showed many great features in mechanics, and mid-frequency acoustics analysis, such as kh≈1. When it comes to higher frequencies, the 3D ES-FEM also encounters the dispersion error, which is related to “slightly overly-soft stiffness” induced by the excessive edge-based smoothing operations compared to the continua system. In this paper, an improved 3D edge-based smoothed finite element method (IES-FEM) is proposed by introducing a parameter controlling the ratio of “slightly over-softness” of the ES-FEM and “over-stiffness” of the FEM, and the balance of the discretized system can then be tuned to reduce the dispersion error in higher frequency range, i.e. 1≤kh≤2. Numerical results demonstrate the advantages of IES-FEM for acoustic problems, in comparison with the ES-FEM using the same mesh.
Original languageEnglish
Title of host publicationThe 6th International Conference on Computational Methods (ICCM2015)
Publication statusPublished - 2015
EventThe 6th International Conference on Computational Methods - Auckland, New Zealand
Duration: 14 Jul 201517 Jul 2015
Conference number: 6

Conference

ConferenceThe 6th International Conference on Computational Methods
Abbreviated titleICCM2015
CountryNew Zealand
CityAuckland
Period14/07/1517/07/15

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    He, Z. C., Li, G. Y., Li, Q. B. E., Zhang, G. Y., & Nie, X. (2015). Improved edge-based smoothed finite element method (IES-FEM) for Mid-frequency acoustic analysis. In The 6th International Conference on Computational Methods (ICCM2015)