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The Navier–Stokes equations are approximated by means of
a fractional step, Chorin–Temam projection method; the time derivative
is approximated by a three-level backward finite difference, whereas
the approximation in space is performed by a Galerkin technique.
It is shown that the proposed scheme yields an error
of
for the velocity in the norm of l2(L2(Ω)d), where l ≥ 1 is
the polynomial degree of the velocity approximation. It is also shown
that the splitting error of projection schemes based...
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