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More pressure in the finite element discretization of the Stokes problem. (English) Zbl 0992.76051
Summary: For the Stokes problem in a two- or three-dimensional bounded domain, we propose a mixed finite element discretization which relies on a nonconforming approximation of velocity and on a more accurate approximation of pressure. We prove that the velocity and pressure discrete spaces are compatible, in the sense that they satisfy an inf-sup condition of Babuška and Brezzi type. Finally, we derive some error estimates.

76M10 Finite element methods applied to problems in fluid mechanics
76D07 Stokes and related (Oseen, etc.) flows
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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