Influence of Gauss and Gauss‐Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain
Influence of Gauss and Gauss‐Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain
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高斯和高斯-洛巴托求积规则对时域四边形有限元方法精度的影响
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
P. Joly
中科院分区：
文献类型：
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作者：
M. Duruflé;P. Grob;P. Joly
在本文中，我们研究了数值积分对时域中使用四边形或六面体网格的有限元方法的影响。我们特别注意使用 Gauss-Lobatto 点对任何元素阶数执行质量集总。我们通过各种数值实验完成的几种误差估计提供了一些理论结果。 © 2009 Wiley periodicals, Inc. 数值方法偏微分方程，2009
In this article, we examine the influence of numerical integration on finite element methods using quadrilateral or hexahedral meshes in the time domain. We pay special attention to the use of Gauss‐Lobatto points to perform mass lumping for any element order. We provide some theoretical results through several error estimates that are completed by various numerical experiments. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009