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Modified integration rules for reducing dispersion error in finite element methods

delete2004-01-01
delete156
PRE
AI
M
Murthy N. Guddati
B
Bin Yue
DOI:10.1016/j.cma.2003.09.010delete
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摘要

摘要

En 中文
This paper describes a simple but effective technique for reducing dispersion errors in finite element solutions of time-harmonic wave propagation problems. The method involves a simple shift of the integration points to locations away from conventional Gauss or Gauss-Lobatto integration points. For bilinear rectangular elements, such a shift results in fourth-order accuracy with respect to dispersion error (error in wavelength), as opposed to the second-order accuracy resulting from conventional integration. Numerical experiments involving distorted meshes indicate that the method has superior performance in comparison with other dispersion reducing finite elements. (C) 2003 Elsevier B.V. All rights reserved.
Keyword:
wave propagation
numerical dispersion
numerical integration
Helmholtz equation
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期刊

Computer Methods in Applied Mechanics and Engineering 封面图
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
论文数:
1.3W
被引数:
5.6W

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