Local pointwise a posteriori gradient error bounds for the Stokes equations
Artikel i vetenskaplig tidskrift, 2013

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.

a posteriori

finite element

Stokes system

Taylor-Hood

gradient

local

Författare

Alan Demlow

Stig Larsson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Mathematics of Computation

0025-5718 (ISSN) 1088-6842 (eISSN)

Vol. 82 282 625-649

Ämneskategorier

Beräkningsmatematik

Fundament

Grundläggande vetenskaper

DOI

10.1090/S0025-5718-2012-02647-0