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In this work we propose a stabilized nite element method that permits us to circumvent discrete inf-sup conditions, e.g. allowing equal order interpolation. The type of method we propose belongs to the family of
symmetric stabilization techniques, which are based on the introduction of additional terms that penalize the di erence between some quantities, i.e. the pressure gradient in the Stokes problem, and their nite
element projections. The key feature of the formulation we propose is the de nition of the projection to be used, a non-standard Scott-Zhang projector that is well-de ned for L1() functions. The resulting method
has some appealing features: the projector is local and nested meshes or enriched spaces are not required.
CitationBadia, S. On stabilized finite element methods based on the Scott-Zhang projector: circumventing the inf-sup condition for the Stokes problem. "Computer methods in applied mechanics and engineering", Novembre 2012, vol. 247-248, p. 65-72.
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