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