A rotated nonconforming rectangular mixed element for elasticity
A rotated nonconforming rectangular mixed element for elasticity
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DOI：
10.1007/s10092-009-0159-6
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发表时间：
2009-03
期刊：
影响因子：
1.7
通讯作者：
Gerard Awanou
中科院分区：
文献类型：
--
作者：
Gerard Awanou
本文提出了一种矩形网格平面弹性问题的低阶混合元。三维空间的刚体运动被用来近似的位移和16维空间被用来离散的对称张量的空间。这个元素可以被看作是矩形模拟的Arnold-Winther元素，并与一个离散版本的弹性微分复杂的nonconformingH 2元素有关的rotatedQ 1元素。
We present a low-order nonconforming mixed element for plane elasticity on rectangular meshes. The 3-dimensional space of rigid body motions is used to approximate the displacement and a 16-dimensional space is used to discretize the space of symmetric tensors. This element may be viewed as the rectangular analogue of the nonconforming Arnold-Winther element and is related to a discrete version of the elasticity differential complex with a nonconformingH2element related to the rotatedQ1element.