This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Burman, ErikLinke, Alexander2016-03-242019-06-2820060946-8633https://doi.org/10.34657/3250https://oa.tib.eu/renate/handle/123456789/1832We propose a stabilized finite element method based on the Scott-Vogelius element in combination with either a local projection stabilization or an edge oriented stabilization based on a penalization of the gradient jumps over element edges. We prove a discrete inf-sup condition leading to optimal a priori error estimates. The theoretical considerations are illustrated by some numerical examples.application/pdfeng510Mixed finite elementsstabilized methodssolenoidal finite elementsedge stabilizationinterior penaltylocal projectionOseen’s equationLBB-conditiona-priori estimateStabilized finite element schems for incompressible flow using Scott-Vogelius elementsReport