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
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:20193 |
| 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 |
| Relation | urn:nbn:de:bsz:ch1-qucosa-154344, qucosa:20137 |
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