- AutorIn
- Michael Weise
- Titel
- A note on the second derivatives of rHCT basis functions
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:ch1-qucosa-154344
- Schriftenreihe
- Chemnitz Scientific Computing Preprints
- Bandnummer
- 14-04
- Erstveröffentlichung
- 2014
- ISSN
- 1864-0087
- Abstract (EN)
- 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.
- Nachfolger
- A note on the second derivatives of rHCT basis functions - extended - 15-02
- Andere Ausgabe
- Chemnitz Scientific Computing Preprints
Link: http://www.tu-chemnitz.de/mathematik/csc/preprints.php - Freie Schlagwörter (DE)
- rHCT-Element
- Freie Schlagwörter (EN)
- reduced Hsieh-Clough-Tocher element, derivative jump, C1-continuous finite element
- Klassifikation (DDC)
- 518
- Normschlagwörter (GND)
- Finite-Elemente-Methode
- Publizierende Institution
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:bsz:ch1-qucosa-154344
- Veröffentlichungsdatum Qucosa
- 29.10.2014
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch
- Inhaltsverzeichnis
1 Introduction 2 Shape functions 3 Transformation of second derivatives 4 Second derivatives at the barycenter