Some $n$-Rectangle Nonconforming Elements for Fourth Order Elliptic Equations

Some $n$-Rectangle Nonconforming Elements for Fourth Order Elliptic Equations

Year:    2007

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 4 : pp. 408–420

Abstract

In this paper, three $n$-rectangle nonconforming elements are proposed with $n\ge3$. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any higher dimensions respectively. These elements are all proved to be convergent for a model biharmonic equation in $n$ dimensions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JCM-10349

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 4 : pp. 408–420

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Nonconforming finite element Fourth order elliptic equation Biharmonic.