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Title: | Stabilized finite element schems for incompressible flow using Scott-Vogelius elements |
Authors: | Burman, Erik; Linke, Alexander |
Issue Date: | 2006 |
Published in: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1165, ISSN 0946-8633 |
Publisher: | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik |
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. |
Keywords: | Mixed finite elements; stabilized methods; solenoidal finite elements; edge stabilization; interior penalty; local projection; Oseen’s equation; LBB-condition; a-priori estimate |
DDC: | 510 |
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. |
Appears in Collections: | Mathematik |
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