Optimal L² error estimates are derived for semidiscrete and fully discrete penalty finite element methods for the 2D unsteady Navier-Stokes equations with nonsmooth initial data using backward Euler time discretization.
Error estimate of the P1 nonconforming finite element method for the penalized unste ady Navier-Stokes equations , Numer
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Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data
Optimal L² error estimates are derived for semidiscrete and fully discrete penalty finite element methods for the 2D unsteady Navier-Stokes equations with nonsmooth initial data using backward Euler time discretization.