An ES-FEM for accurate analysis of 3D mid-frequency acoustics using tetrahedron mesh

Z. C. He, G. Y. Li, Zhihua Zhong, A. G. Cheng, G. Y. Zhang, Eric Li, G. R. Liu

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

An edge-based smoothed finite element method (ES-FEM) is proposed to solve 3D acoustic problems in the mid-frequency range, using the simplest linear tetrahedron meshes that can be generated automatically for complicated geometry. In present ES-FEM, the gradient smoothing operation is performed with respect to each edge-based smoothing domain, which is also serving as building blocks in the assembly of the stiffness matrix. It turns out the ES-FEM provides an ideal amount of softening effect, and significantly reduces the numerical dispersion error in low- to mid-frequency range. Several numerical examples demonstrate the superiority of the ES-FEM for 3D acoustic analysis, especially at mid-frequency.

Original languageEnglish
Pages (from-to)125-134
Number of pages10
JournalComputers and Structures
Volume106-107
DOIs
Publication statusPublished - 1 Sep 2012

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