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Energy norm a posteriori error estimation for discontinuous Galerkin methods

Roland Becker ; Peter Hansbo (Institutionen för tillämpad mekanik, Dynamik) ; Mats Larson
Computer Methods in Applied Mechanics and Engineering Vol. 192 (2003), 5-6, p. 723-733.
[Artikel, refereegranskad vetenskaplig]

In this paper we present a residual-based a posteriori error estimate of a natural mesh dependent energy norm of the error in a family of discontinuous Galerkin approximations of elliptic problems. The theory is developed for an elliptic model problem in two and three spatial dimensions and general nonconvex polygonal domains are allowed. We also present some illustrating numerical examples.



Denna post skapades 2007-03-06.
CPL Pubid: 26544

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Dynamik (1900-2017)

Ämnesområden

Numerisk analys

Chalmers infrastruktur