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.
Original language | English |
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Pages (from-to) | 99-119 |
Number of pages | 21 |
Journal | Numerische Mathematik |
Volume | 124 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2013 |
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics