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

Arnd Meyer

doi:10.2478/cmam-2012-0029

Published by De Gruyter January 1, 2012

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

Arnd Meyer

From the journal Computational Methods in Applied Mathematics

https://doi.org/10.2478/cmam-2012-0029

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Abstract

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.

Keywords: finite elements; higher order elements; stable calculations

Received: 2012-04-14

Revised: 2012-06-12

Accepted: 2012-07-31

Published Online: 2012

Published in Print: 2012

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

Abstract

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