Optimal error Estimates for the Stokes and Navier–Stokes equations with slip–boundary condition
Fachbereich 3, Zentrum für Technomathematik,
Postfach 330 440, 28334 Bremen, Germany. email@example.com.
2 Centre for Mathematical Analysis and its Applications, School of Mathematical Sciences, University of Sussex, Falmer, Brighton BN1 9QH, England. firstname.lastname@example.org.
Revised: 27 November 1998
We consider a finite element discretization by the Taylor–Hood element for the stationary Stokes and Navier–Stokes equations with slip boundary condition. The slip boundary condition is enforced pointwise for nodal values of the velocity in boundary nodes. We prove optimal error estimates in the H1 and L2 norms for the velocity and pressure respectively.
Mathematics Subject Classification: 35Q30 / 65N15 / 65N30 / 76D05 / 76D07
Key words: Stokes equations / Navier–Stokes equations / finite elements / slip boundary condition / error estimates.
© EDP Sciences, SMAI, 1999