Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 6 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8839
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 6 : pp. 561–586
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Constrained Nonconforming Rotated $Q_1$ element Superconvergence Postprocess.