On the LBB constant on stretched domains

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2003 English Publisher:WileyJournal:Mathematische Nachrichten, volume 254-255, pages 64-67 (issn: 0025-584X, eissn: 1522-2616,

Copyright policy )

Authors: Dobrowolski, Manfred;

doi: 10.1002/mana.200310052

On the LBB constant on stretched domains

- Summary
- Subjects
- Metrics

Abstract

AbstractIt is proved that the constant in the Ladyzhenskaja–Babuska–Brezzi condition on stretched domains is proportional to a–1, where a ≥ 1 is the aspect ratio of the stretched domain. In particular, the result is valid for channel domains and plates.

Related Organizations

Institut für Angewandte Statistik
Germany
University of Würzburg
Germany

Keywords

stretched domains, Finite element methods applied to problems in solid mechanics, Stokes equations, Navier-Stokes equations, LBB constant, General theory of numerical analysis in abstract spaces, Plates, Stokes and related (Oseen, etc.) flows, Finite element methods applied to problems in fluid mechanics

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	24
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average