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Three-dimensional dispersion analysis and stabilized finite element methods for acoustics

机译：声学的三维色散分析和稳定有限元方法

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摘要

Galerkin/least-squares and Galerkin gradient/least-squares stand out among several approaches designed to improve the numerical solution accuracy and counteract the pollution effect by adding terms to the standard Galerkin formulation. These added terms are multiplied by a 'stability parameter', which must be properly defined. In this paper, an original three-dimensional dispersion analysis is performed for the Helmholtz equation, together with the determination of the three-dimensional stability parameters for structured and unstructured meshes. Numerical experiments show the relative efficiency of the proposed methods for solving acoustic problems arising from industry. (C) 2018 Elsevier B.V. All rights reserved.
机译：Galerkin /最小二乘法和Galerkin梯度/最小二乘法在旨在提高数值求解精度并通过向标准Galerkin公式中添加项来抵消污染影响的几种方法中脱颖而出。这些增加的术语乘以“稳定性参数”，必须正确定义。在本文中，对Helmholtz方程进行了原始的三维色散分析，并确定了结构化和非结构化网格的三维稳定性参数。数值实验表明，所提出的方法解决工业声学问题的相对效率。 （C）2018 Elsevier B.V.保留所有权利。

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