Improved conditioning of infinite elements for exterior acoustics
Improved conditioning of infinite elements for exterior acoustics
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DOI：
10.1002/nme.804
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发表时间：
2003-10
影响因子：
2.9
通讯作者：
Daniel Dreyer;O. Estorff
中科院分区：
文献类型：
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作者：
Daniel Dreyer;O. Estorff
介绍了一种优化版本的所谓映射波包络元素，也称为Astley-Leis元素。这些单元在一维上无限延伸，因此提供了一种在频域和时域上模拟外部声学问题的方法。通过在辐射方向上适当选择多项式基，它们的公式得到显著改进。特别是，某些雅可比多项式被确定为表现良好的相对于空调系统矩阵。因此，有限元离散化的大小可以显著减小而不损失任何精度。此外，新的多项式基地导致上级性能的无限元与迭代求解器。版权所有© 2003年约翰威利父子有限公司。
An optimized version of the so‐called mapped wave envelope elements, also known as Astley–Leis elements, is introduced. These elements extend to infinity in one dimension and therefore provide an approach to the simulation of exterior acoustical problems in both frequency and time domains. Their formulation is improved significantly through the proper choice of polynomial bases in the direction of radiation. In particular, certain Jacobi polynomials are identified which behave well with respect to conditioning of the system matrices. As a consequence, the size of the finite element discretization may reduce considerably without any loss of accuracy. In addition, the new polynomial bases lead to superior performance of the infinite elements in conjunction with iterative solvers. Copyright © 2003 John Wiley & Sons, Ltd.