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.
Finite element approximation of the Navier-Stokes equatio ns, Lecture Notes in Mathematics, 749
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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.