@Article{JCM-23-6, author = {}, title = {Constrained Quadrilateral Nonconforming Rotated $Q_1$ Element}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {6}, pages = {561--586}, abstract = {

In this paper, we define a new nonconforming quadrilateral finite element based on the nonconforming rotated $Q$1 element by enforcing a constraint on each element, which has only three degrees of freedom. We investigate the consistency, approximation, superclose property, discrete Green's function and superconvergence of this element. Moreover, we propose a new postprocessing technique and apply it to this element. It is proved that the postprocessed discrete solution is superconvergent under a mild assumption on the mesh.

}, issn = {1991-7139}, doi = {https://doi.org/2005-JCM-8839}, url = {https://global-sci.com/article/85175/constrained-quadrilateral-nonconforming-rotated-q-1-element} }