Beyond pressure stabilization: a low-order local projection method for the Oseen equation

Gabriel Barrenechea, Frédéric Valentin

Research output: Contribution to journalArticle

6 Citations (Scopus)


This work proposes a new local projection stabilized finite element method (LPS) for the Oseen problem. The method adds to the Galerkin formulation new fluctuation terms that are symmetric and easily computable at the element level. Proposed for the pair ℙ1/ℙl, l = 0, 1, when the pressure is continuously or discontinuously approximated, well-posedness and error optimality are proved. In addition, we introduce a cheap strategy to recover an element-wise mass conservative velocity field in the discontinuous pressure case, a property usually neglected in the stabilized finite element context. Numerics validate the theoretical results and show that the present method improves accuracy to represent boundary layers when compared with alternative approaches.
Original languageEnglish
Pages (from-to)801–815
Number of pages15
JournalInternational Journal for Numerical Methods in Engineering
Issue number7
Publication statusPublished - 20 May 2011



  • Oseen equation
  • LPS method
  • low-order method

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