Author(s)： Masahisa Tabata and Yuki Ueda

J. Math-for-Ind. 1B (2009) 131-138.

• File： JMI2009B-6.pdf (355KB)

Abstract
We present a set of variant Hermite tetrahedral elements of degree three for three-dimensional problems.
A finite element space constructed from these elements has advantages that the degrees of freedom are much smaller than those of the Lagrange element and that it is easily applicable to problems subject to Dirichlet boundary conditions. Applying it to Poisson problems, we prove best possible a priori error estimates. Two numerical examples reflect the theoretical results.

Keyword(s).　 variant Hermite elements, tetrahedral elements, a priori error estimates