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Finite element approximation of the nonstationary Navier-Stokes problem. II. Stability of solutions and error estimates uniform in time. (English) Zbl 0611.76036
[For part I see the authors, ibid. 19, 275-311 (1982; Zbl 0487.76035).]
Assumptions about the stability of a solution are introduced in the numerical analysis of the nonstationary Navier-Stokes problem, for the purpose of extending local a priori error estimates, and local a posteriori error estimates, globally in time.

76D05 Navier-Stokes equations for incompressible viscous fluids
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35Q30 Navier-Stokes equations
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