The University of Southampton
University of Southampton Institutional Repository

Polynomial C1 shape functions on the triangle

Papanicolopulos, S.-A. and Zervos, A. (2013) Polynomial C1 shape functions on the triangle Computers & Structures, 118, pp. 53-58. (doi:10.1016/j.compstruc.2012.07.003).

Record type: Article


We derive generic formulae for all possible C1 continuous polynomial interpolations for triangular elements,
by considering individual shape functions, without the need to prescribe the type of the degrees
of freedom in advance. We then consider the possible ways in which these shape functions can be combined
to form finite elements with given properties. The simplest case of fifth-order polynomial functions
is presented in detail, showing how two existing elements can be obtained, as well as two new elements,
one of which shows good numerical behaviour in numerical tests.

Full text not available from this repository.

More information

Accepted/In Press date: 24 July 2012
Published date: March 2013
Organisations: Infrastructure Group


Local EPrints ID: 341764
ISSN: 0045-7949
PURE UUID: fc5669c8-4b6f-456d-8c8a-f9aae8fd0dc1
ORCID for A. Zervos: ORCID iD

Catalogue record

Date deposited: 02 Aug 2012 16:13
Last modified: 18 Jul 2017 05:32

Export record



Author: S.-A. Papanicolopulos
Author: A. Zervos ORCID iD

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.