A New Rotated Nonconforming Quadrilateral Element

@article{Meng2018ANR,
  title={A New Rotated Nonconforming Quadrilateral Element},
  author={Zhaoliang Meng and Jintao Cui and Zhongxuan Luo},
  journal={Journal of Scientific Computing},
  year={2018},
  volume={74},
  pages={324-335}
}
In this paper, a new nonparametric nonconforming quadrilateral finite element is introduced. This element takes the four edge mean values as the degrees of the freedom and the finite element space is a subspace of $$P_{2}$$P2. Different from the other nonparametric elements, the basis functions of this new element can be expressed explicitly without solving linear systems locally, which can be achieved by introducing a new reference quadrilateral. To evaluate the integration, a class of new… 
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