On higher order pyramidal finite elements

0355509 - MÚ 2011 RIV CN eng J - Journal Article
Liu, L. - Davies, K.B. - Křížek, Michal - Guan, L.
On higher order pyramidal finite elements.
Advances in Applied Mathematics and Mechanics. Roč. 3, č. 2 (2011), s. 131-140. ISSN 2070-0733. E-ISSN 2075-1354
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : pyramidal polynomial basis functions * finite element method * composite elements * three-dimensional mortar elements
Subject RIV: BA - General Mathematics
Impact factor: 0.750, year: 2011

In this paper we first prove a theorem on the nonexistence of pyramidal polynomial basis functions. Then we present a new symmetric composite pyramidal finite element which yields a better convergence tha the nosymmetric one. It has fourteen degrees of freedom and its basis functions are incomplete piecewise triquadratic polynomials. The space of ansatz functions contains all quadratic functions on each of four subtetrahedra that form a fiven pyramidal element.
Permanent Link: http://hdl.handle.net/11104/0194261