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

Houston, Paul; Perugia, Ilaria; Schoetzau, Dominik

Authors

Paul Houston

Ilaria Perugia

Dominik Schoetzau



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.

Journal Article Type Article
Publication Date Jan 1, 2005
Peer Reviewed Not Peer Reviewed
APA6 Citation discretizations of H(curl)-elliptic partial differential equations
Keywords Discontinuous Galerkin methods, a posteriori error analysis, eddy current problems
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
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