- AutorIn
- Sven Beuchler
- Titel
- Fast solvers for degenerated problems
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:swb:ch1-200600611
- Quellenangabe
- Preprintreihe des Chemnitzer SFB 393, 03-04
- ISSN
- 1619-7186
- Abstract (EN)
- In this paper, finite element discretizations of the degenerated operator -ω<sup>2</sup>(y) u<sub>xx</sub>-ω<sup>2</sup>(x)u<sub>yy</sub>=g in the unit square are investigated, where the weight function satisfies ω(ξ)=ξ<sup>α</sup> with α ≥ 0. We propose two multi-level methods in order to solve the resulting system of linear algebraic equations. The first method is a multi-grid algorithm with line-smoother. A proof of the smoothing property is given. The second method is a BPX-like preconditioner which we call MTS-BPX preconditioner. We show that the upper eigenvalue bound of the MTS-BPX preconditioned system matrix grows proportionally to the level number.
- Andere Ausgabe
- URL
Link: http://www.tu-chemnitz.de/sfb393/preprints.html - Freie Schlagwörter
- Multigrid
- Preconditioning
- multi-level method
- Klassifikation (DDC)
- 510
- Normschlagwörter (GND)
- Finite-Elemente-Methode
- Numerische Mathematik / Algorithmus
- Verlag
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:swb:ch1-200600611
- Veröffentlichungsdatum Qucosa
- 11.04.2006
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch