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The Global ETD Search service is a free service for researchers
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Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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Showing 1 to 6 of 6 (0.056 seconds)| 1 |
Simplified calculation of rHCT basis functions for an arbitrary splittingWeise, Michael 06 February 2015 (has links) (PDF)
Reduced Hsieh-Clough-Tocher elements are triangular C1-elements with only nine degrees of freedom. Simple formulas for the basis functions of reduced Hsieh-Clough-Tocher elements based on the edge vectors of the triangle have been given recently for a barycentric splitting. We generalise these formulas to the case of an arbitrary splitting point.
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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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Simplified calculation of rHCT basis functions for an arbitrary splittingWeise, Michael January 2015 (has links)
Reduced Hsieh-Clough-Tocher elements are triangular C1-elements with only nine degrees of freedom. Simple formulas for the basis functions of reduced Hsieh-Clough-Tocher elements based on the edge vectors of the triangle have been given recently for a barycentric splitting. We generalise these formulas to the case of an arbitrary splitting point.:1 Introduction
2 Basic definitions
3 Mapping to the reference triangle
4 Construction of the rHCT shape functions
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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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