# Simple quadrature rules for a nonparametric nonconforming quadrilateral element

@article{Cho2022SimpleQR, title={Simple quadrature rules for a nonparametric nonconforming quadrilateral element}, author={Kanghun Cho and Dongwoo Sheen}, journal={ArXiv}, year={2022}, volume={abs/2201.10652} }

We introduce simple quadrature rules for the family of nonparametric nonconforming quadrilateral element with four degrees of freedom. Our quadrature rules are motivated by the work of Meng et al. [21]. First, we introduce a family of MVP (Mean Value Property)-preserving four DOFs nonconforming elements on the intermediate reference domain introduced by Meng et al.. Then we design two–points and three– points quadrature rules on the intermediate reference domain. Under the assumption on equal…

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