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

By Paul Houston, Ilaria Perugia and 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

Year: 2005
OAI identifier: oai:eprints.nottingham.ac.uk:154
Provided by: Nottingham ePrints

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