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| 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 freed...om 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.show more
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JMI2009B-6