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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.

MSC:
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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References:
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