- AutorIn
- Tino Eibner
- Jens Markus Melenk
- Titel
- p-FEM quadrature error analysis on tetrahedra
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:ch1-200702059
- Schriftenreihe
- Chemnitz Scientific Computing Preprints, CSC/06-01
- ISSN
- 1864-0087
- Abstract (EN)
- In this paper we consider the p-FEM for elliptic boundary value problems on tetrahedral meshes where the entries of the stiffness matrix are evaluated by numerical quadrature. Such a quadrature can be done by mapping the tetrahedron to a hexahedron via the Duffy transformation. We show that for tensor product Gauss-Lobatto-Jacobi quadrature formulas with q+1=p+1 points in each direction and shape functions that are adapted to the quadrature formula, one again has discrete stability for the fully discrete p-FEM. The present error analysis complements the work [Eibner/Melenk 2005] for the p-FEM on triangles/tetrahedra where it is shown that by adapting the shape functions to the quadrature formula, the stiffness matrix can be set up in optimal complexity.
- Andere Ausgabe
- Link: http://www.tu-chemnitz.de/mathematik/csc/preprints.php
- Freie Schlagwörter (EN)
- adapted shape functions, discrete stability
- Klassifikation (DDC)
- 510
- Normschlagwörter (GND)
- Fehleranalyse, Finite-Elemente-Methode, Numerische Integration, Tetraedergitter, p-Methode
- Publizierende Institution
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:bsz:ch1-200702059
- Veröffentlichungsdatum Qucosa
- 30.11.2007
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch