WIAS Preprint No. 1165, (2006)

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



Authors

  • Burman, Erik
  • Linke, Alexander
    ORCID: 0000-0002-0165-2698

2010 Mathematics Subject Classification

  • 76M10 65M12 65M15

Keywords

  • mixed finite elements, stabilized methods, solenoidal finite elements, edge stabilization, interior penalty, local projection, Oseen's equation, LBB-condition, a-priori estimate

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.

Appeared in

  • Appl. Numer. Math., 58 (2008) pp. 1704--1719.

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