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Local pointwise a posteriori gradient error bounds for the Stokes equations

Alan Demlow ; Stig Larsson (Institutionen för matematiska vetenskaper, matematik)
Mathematics of Computation (0025-5718). Vol. 82 (2013), 282, p. 625-649.
[Artikel, refereegranskad vetenskaplig]

We consider the standard Taylor-Hood finite element method for the stationary Stokes system on polyhedral domains. We prove local a posteriori error estimates for the maximum error in the gradient of the velocity field. Because the gradient of the velocity field blows up near reentrant corners and edges, such local error control is necessary when pointwise control of the gradient error is desirable. Computational examples confirm the utility of our estimates in adaptive codes.

Nyckelord: Stokes system, Taylor-Hood, finite element, a posteriori, gradient, local



Denna post skapades 2012-12-24. Senast ändrad 2014-09-02.
CPL Pubid: 168611

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Numerisk analys

Chalmers infrastruktur