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A Simplified Calculation of Reduced HCT--Basis Functions in a Finite Element Context

Arnd Meyer


We present simple formulas for the definition of the basis functions on a reduced Hsieh-Clough-Tocher (rHCT) element. These formulas use the P_3-biorthogonal basis in the master triangle and form the resulting basis with the help of the edge vectors of the triangle only. This allows for a simple and efficient algorithm to compute the stiffness matrices.

Received: 2012-04-14
Revised: 2012-06-12
Accepted: 2012-07-31
Published Online: 2012
Published in Print: 2012

© Institute of Mathematics, NAS of Belarus