Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
SIAM Journal on Numerical Analysis
Journal of Computational and Applied Mathematics
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An accuracy-enhancing postprocessing technique for finite-element discretizations of the Navier-Stokes equations is analyzed. The technique had been previously analyzed only for semidiscretizations, and fully discrete methods are addressed in the present paper. We show that the increased spatial accuracy of the postprocessing procedure is not affected by the errors arising from any convergent time-stepping procedure. Further refined bounds are obtained when the time-stepping procedure is either the backward Euler method or the two-step backward differentiation formula.