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Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). (English) Zbl 0772.76033
Summary: The equivalence between stabilized finite element methods (or Galerkin- least-squares type methods) and the standard Galerkin method with bubble functions is established in an abstract framework. The results are applicable to various finite element spaces, including high order elements, and applications to the advective diffusive model and to the Stokes problem are presented.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76M30 Variational methods applied to problems in fluid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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