Stabilized finite element schems for incompressible flow using Scott-Vogelius elements

Loading...
Thumbnail Image
Date
2006
Volume
1165
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Link to publishers version
Abstract

We 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.

Description
Keywords
Mixed finite elements, stabilized methods, solenoidal finite elements, edge stabilization, interior penalty, local projection, Oseen’s equation, LBB-condition, a-priori estimate
Citation
Burman, E., & Linke, A. (2006). Stabilized finite element schems for incompressible flow using Scott-Vogelius elements (Vol. 1165). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
License
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.