V. John, Residual a posteriori error estimates for two-level finite element methodsfor the Navier-Stokes equations, APPL NUM M, 37(4), 2001, pp. 503-518
Residual based a posteriori error estimates for conforming finite element s
olutions of the incompressible Navier-Stokes equations which are computed w
ith four recently proposed two-level methods are derived. The a posteriori
error estimates contain additional terms in comparison to the estimates for
the solution obtained by the standard one-level method. The importance of
these additional terms in the error estimates is investigated by studying t
heir asymptotic behaviour. For optimally scaled meshes, these bounds are no
t of higher order than the order of convergence of the discrete solution. (
C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.