Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1986 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 23, pages 750-777 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Heywood, John G.; Rannacher, Rolf;

doi: 10.1137/0723049

Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time

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Abstract

[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.

Keywords

nonstationary Navier-Stokes problem, exponential stability, numerical analysis, local a priori error estimates, Navier-Stokes equations for incompressible viscous fluids, finite element method, local a posteriori error estimates, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Navier-Stokes equations, stability of a solution

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