Duality and unified analysis of discrete approximations in structural dynamics and wave propagation : Comparison of p-method finite elements with k-method NURBS
Duality and unified analysis of discrete approximations in structural dynamics and wave propagation : Comparison of p-method finite elements with k-method NURBS
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DOI：
10.1016/j.cma.2008.04.006
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发表时间：
2008-09
影响因子：
7.2
通讯作者：
T. Hughes;A. Reali;G. Sangalli
中科院分区：
文献类型：
--
作者：
T. Hughes;A. Reali;G. Sangalli
我们研究了结构振动和波传播问题的经典有限元和NURBS近似的离散化行为。我们发现，在相同的自由度和带宽的基础上，NURBS具有上级逼近性能。事实上，我们观察到经典有限元的高模式行为是发散的近似阶数，一个令人惊讶的负面结果。另一方面，NURBS提供了几乎谱逼近的特性，并且所有模式都随着逼近阶数的增加而收敛。
We study the discretization behavior of classical finite element and NURBS approximations on problems of structural vibrations and wave propagation. We find that, on the basis of equal numbers of degrees-of-freedom and bandwidth, NURBS have superior approximation properties. In fact, we observe that the high mode behavior of classical finite elements is divergent with the order of approximation, a surprisingly negative result. On the other hand, NURBS offer almost spectral approximation properties, and all modes converge with increasing order of approximation.