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Zbl 0852.76039
Ervin, V.; Layton, W.; Maubach, J.
A posteriori error estimators for a two-level finite element method for the Navier-Stokes equations. (English)
[J] Numer. Methods Partial Differ. Equations 12, No.3, 333-346 (1996). ISSN 0749-159X; ISSN 1098-2426/e

Summary: Two- and multilevel truncated Newton finite element discretizations are presently a very promising approach for approximating the (nonlinear) Navier-Stokes equations describing the equilibrium flow of a viscous incompressible fluid. Their combination with mesh adaptivity is considered in this article. Specifically, locally calculable a posteriori error estimators are derived, with full mathematical support, for the basic two-level discretization of the Navier-Stokes equations.

MSC 2000:: *76M10 Finite element methods
76D05 Navier-Stokes equations (fluid dynamics)
65N30 Finite numerical methods (BVP of PDE)

Keywords: mesh adaptivity

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