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A posteriori error estimators for a two‐level finite element method for the Navier‐Stokes equations
Author(s) -
Ervin V.,
Layton W.,
Maubach J.
Publication year - 1996
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199605)12:3<333::aid-num4>3.0.co;2-p
Subject(s) - mathematics , estimator , discretization , finite element method , a priori and a posteriori , navier–stokes equations , nonlinear system , pressure correction method , compressibility , stokes flow , flow (mathematics) , mathematical analysis , geometry , mechanics , physics , statistics , philosophy , epistemology , quantum mechanics , thermodynamics
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. © 1996 John Wiley & Sons, Inc.