Energy norm a-posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem
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Date
2003-08Type
- Report
ETH Bibliography
yes
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Abstract
In this paper, we develop the a posteriori error estimation of mixed discontinuous Galerkin finite element approximations of the Stokes problem. In particular, computable upper bounds on the error, measured in terms of a natural (mesh-dependent) energy norm, are derived. The proof of the a posteriori error bound is based on rewriting the underlying method in a non-consistent form by introducing appropriate lifting operators, and employing a decomposition result for the discontinuous spaces. A series of numerical experiments highlighting the performance of the proposed a posteriori error estimator on adaptively refined meshes are presented. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004570522Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
Discontinuous Galerkin methods; A posteriori error estimation; Stokes problemOrganisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
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ETH Bibliography
yes
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