Best-approximation error estimates are extended from the Stokes problem to the instationary Navier-Stokes equations in the L^∞(I;L²(Ω)), L²(I;H¹(Ω)), and L²(I;L²(Ω)) norms via error splitting and a tailored discrete Gronwall lemma.
E MMRICH , Error of the two-step BDF for the incompressible Navier-Sto kes problem, ESAIM: Mathematical Modelling and Numerical Analy- sis, 38 (2004), pp
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Error estimates for finite element discretizations of the instationary Navier-Stokes equations
Best-approximation error estimates are extended from the Stokes problem to the instationary Navier-Stokes equations in the L^∞(I;L²(Ω)), L²(I;H¹(Ω)), and L²(I;L²(Ω)) norms via error splitting and a tailored discrete Gronwall lemma.