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A note on the second derivatives of rHCT basis functionsWeise, Michael 29 October 2014 (has links) (PDF)
We consider reduced Hsieh-Clough-Tocher basis functions with respect to a splitting into subtriangles at the barycenter of the original triangular element.
This article gives a proof that the second derivatives of those functions, which in general may jump at the subtriangle boundaries, do not jump at the barycenter.
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A note on the second derivatives of rHCT basis functions - extendedWeise, Michael 06 February 2015 (has links) (PDF)
We consider reduced Hsieh-Clough-Tocher basis functions with respect to a splitting into subtriangles at an arbitrary interior point of the original triangular element. This article gives a proof that the second derivatives of those functions, which in general may jump at the subtriangle boundaries, do not jump at the splitting point.
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A note on the second derivatives of rHCT basis functionsWeise, Michael January 2014 (has links)
We consider reduced Hsieh-Clough-Tocher basis functions with respect to a splitting into subtriangles at the barycenter of the original triangular element.
This article gives a proof that the second derivatives of those functions, which in general may jump at the subtriangle boundaries, do not jump at the barycenter.:1 Introduction
2 Shape functions
3 Transformation of second derivatives
4 Second derivatives at the barycenter
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A note on the second derivatives of rHCT basis functions - extendedWeise, Michael January 2015 (has links)
We consider reduced Hsieh-Clough-Tocher basis functions with respect to a splitting into subtriangles at an arbitrary interior point of the original triangular element. This article gives a proof that the second derivatives of those functions, which in general may jump at the subtriangle boundaries, do not jump at the splitting point.:1 Introduction
2 Shape functions
3 Transformation of second derivatives
4 Second derivatives at the splitting point
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