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Stabilized finite element schems for incompressible flow using Scott-Vogelius elements
2006, Burman, Erik, Linke, Alexander
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.