Simplified calculation of rHCT basis functions for an arbitrary splitting

Description

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

Links & Downloads

1. urn:nbn:de:bsz:ch1-qucosa-160152
2. 1864-0087
3. https://monarch.qucosa.de/id/qucosa%3A20192
4. https://monarch.qucosa.de/api/qucosa%3A20192/attachment/ATT-0/
5. https://monarch.qucosa.de/api/qucosa%3A20192/attachment/ATT-1/

Tags

info:eu-repo/classification/ddc/518

ddc:518

Finite-Elemente-Methode

rHCT-Element

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:20192
Date	January 2015
Creators	Weise, Michael
Publisher	Technische Universität Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
Rights	info:eu-repo/semantics/openAccess