Polynomial C1 shape functions on the triangle
Papanicolopulos, S.-A. and Zervos, A. (2013) Polynomial C1 shape functions on the triangle. Computers & Structures, 118, 53-58. (doi:10.1016/j.compstruc.2012.07.003).
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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.
|Subjects:||Q Science > QA Mathematics > QA75 Electronic computers. Computer science|
|Divisions:||Faculty of Engineering and the Environment > Civil, Maritime and Environmental Engineering and Science > Infrastructure Research Group
|Date Deposited:||02 Aug 2012 16:13|
|Last Modified:||18 Aug 2013 10:40|
|Funder:||European Research Council|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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