Dispersion Error Reduction for Acoustic Problems Using the Finite Element-Least Square Point Interpolation Method

被引：4
|
作者：
Yao, L. Y. [1 ]
Zhou, J. W. [2 ]
Zhou, Z. [2 ]
Li, L. [1 ]
机构：
[1] Southwest Univ, Coll Engn & Technol, Chongqing 400715, Peoples R China
[2] Res Inst Co Ltd, China Automot Engn, Chongqing 401122, Peoples R China
来源：
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 2015年 / 137卷 / 02期
基金：
中国国家自然科学基金;
关键词：
acoustic; numerical method; FEM; element-free Galerkin method; FE-LSPIM; dispersion analysis; HELMHOLTZ-EQUATION; POLLUTION; FORMULATION; PARTITION;
D O I：
10.1115/1.4029160
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The shape function of the finite element-least square point interpolation method (FE-LSPIM) combines the quadrilateral element for partition of unity and the least square point interpolation method (LSPIM) for local approximation, and inherits the completeness properties of meshfree shape functions and the compatibility properties of FE shape functions, and greatly reduces the numerical dispersion error. This paper derives the formulas and performs the dispersion analysis for the FE-LSPIM. Numerical results for benchmark problems show that, the FE-LSPIM yields considerably better results than the finite element method (FEM) and element-free Galerkin method (EFGM).
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页数：8
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