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A conforming finite element method for the time-dependent Navier-Stokes equations. (English) Zbl 0578.65122

For the Stokes problem with spatial discretization the authors obtain optimal error estimates for velocity and pressure. The results are extended to the Navier-Stokes problem by an implicit function theorem. The results are in 2 or 3 space dimensions and continuous time.
Reviewer: J.D.P.Donnelly

MSC:

65Z05 Applications to the sciences
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations
76D07 Stokes and related (Oseen, etc.) flows
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