A posteriori error estimation for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations

Houston, Paul and Perugia, Ilaria and Schoetzau, Dominik (2005) A posteriori error estimation for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations.

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Abstract

We develop the a posteriori error estimation of interior penalty discontinuous Galerkin discretizations for H(curl)-elliptic problems that arise in eddy current models. Computable upper and lower bounds on the error measured in terms of a natural (mesh-dependent) energy norm are derived. The proposed a posteriori error estimator is validated by numerical experiments, illustrating its reliability and efficiency for a range of test problems.

Item Type: Article
Uncontrolled Keywords: Discontinuous Galerkin methods, a posteriori error analysis, eddy current problems
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Houston, Paul
Date Deposited: 02 Aug 2005
Last Modified: 24 Jun 2011 14:36
URI: http://eprints.nottingham.ac.uk/id/eprint/154

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