Relationship between multiscale enrichment and stabilized finite element methods for the generalized Stokes problem

Gabriel Barrenechea, Frédéric Valentin

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


We derive a new stabilized finite element method for the generalized Stokes problem starting from the non-stable continuous finite element space enriched with multiscale functions. The stabilization parameter is related with the enrichment functions which are analytically computed from a boundary value problem at the element level leading to a method which is free of constants. Optimal error estimates are obtained in natural norms and numerical tests validate the method
Original languageEnglish
Pages (from-to)635-640
Number of pages6
JournalComptes Rendus Mathematique
Issue number10
Publication statusPublished - 15 Nov 2005


  • Stokes problem
  • finite element methods
  • multiscale enrichment

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