A posteriori error estimates applied to flow in a channel with corners

Accuracy of semiGLS stabilization of FEM for solving Navier–Stokes equations and a posteriori error estimates

“…Moreover, we are able to refine the mesh adaptively in the problematic areas and recompute the solution in the way that is commonly used in connection with a posteriori error estimates if a uniform error distribution is desired. Such an approach was presented in [6] for the FEM without stabilization.…”

“…based on a posteriori error estimates in the following form derived for Taylor-Hood elements in [6] (e u 1 , e u 2 , e p )…”

“…The constant C is a delicate task in a posteriori error estimates. We refer to [6], where we show its derivation for the case of nonstabilized FEM. In this paper we use the constant in a relative sense: we apply the a posteriori error estimates to show the relative error on finite elements, in order to show the distribution of the error in the solution domain.…”

Numerical solution of flow problems by stabilized finite element method and verification of its accuracy using a posteriori error estimates

“…As in [3], we use the error estimator defined by where E 2 (u h 1 , u h 2 , p h , Ω l ) is the estimate of the error on element l,…”

“…Constant C is determined from a numerical experiment described in [3], where also details on the a posteriori estimates are given.…”