TY - JOUR
T1 - On Higher Order Pyramidal Finite Elements
AU - Liu , Liping
AU - Davies , Kevin B.
AU - Křížek , Michal
AU - Li , Guan
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 131
EP - 140
PY - 2011
DA - 2011/03
SN - 3
DO - http://doi.org/10.4208/aamm.09-m0989
UR - https://global-sci.org/intro/article_detail/aamm/161.html
KW - Pyramidal polynomial basis functions, finite element method, composite elements, three-dimensional mortar elements.
AB - <p style="text-align: justify;">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 than the nonsymmetric 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 sub-tetrahedra that
form a given pyramidal element.</p>