Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/12357
Title: C0-nonconforming tetrahedral and cuboid elements for the three-dimensional fourth order elliptic problem
Authors: Chen, H
Chen, S
Qiao, Z 
Issue Date: 2013
Publisher: Springer
Source: Numerische mathematik, 2013, v. 124, no. 1, p. 99-119 How to cite?
Journal: Numerische Mathematik 
Abstract: In this paper, a theoretical framework is constructed on how to develop C0-nonconforming elements for the fourth order elliptic problem. By using the bubble functions, a simple practical method is presented to construct one tetrahedral C0-nonconforming element and two cuboid C0-nonconforming elements for the fourth order elliptic problem in three spacial dimensions. It is also proved that one element is of first order convergence and other two are of second order convergence. From the best knowledge of us, this is the first success in constructing the second-order convergent nonconforming element for the fourth order elliptic problem.
URI: http://hdl.handle.net/10397/12357
ISSN: 0029-599X
DOI: 10.1007/s00211-012-0508-2
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