Details

Autor(en) / Beteiligte

• Knobloch, Petr
• Tobiska, Lutz

Titel

Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem

Ist Teil von

• Numerical methods for partial differential equations, 2013-01, Vol.29 (1), p.206-225

Ort / Verlag

Hoboken: Wiley Subscription Services, Inc., A Wiley Company

Erscheinungsjahr

2013

Link zum Volltext

Quelle

Wiley Online Library - AutoHoldings Journals

Beschreibungen/Notizen

• We consider a class of local projection stabilizations with projection spaces defined on (possibly) overlapping sets applied to the Oseen problem. We prove that the underlying bilinear form satisfies an inf–sup condition with respect to a stronger norm than coercivity suggests. A modification of the stabilization of the convection allows an optimal estimation of the consistency error. A priori estimates in the stronger norm and in the L2 norm for the pressure are established. Discontinuous pressure approximations are included in the analysis. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2013