Energy norm a-posteriori error estimation for mixed discontinuous Galerkin approximations of the Stokes problem
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2003-08
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Report
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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.
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published
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2003-09
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Seminar for Applied Mathematics, ETH Zurich
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Subject
Discontinuous Galerkin methods; A posteriori error estimation; Stokes problem
Organisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics