Stabilized finite element schemes for incompressible flow using Scott--Vogelius elements
- Burman, Erik
- Linke, Alexander
2010 Mathematics Subject Classification
- 76M10 65M12 65M15
- mixed finite elements, stabilized methods, solenoidal finite elements, edge stabilization, interior penalty, local projection, Oseen's equation, LBB-condition, a-priori estimate
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.
- Appl. Numer. Math., 58 (2008) pp. 1704--1719.