PAUL HOUSTON PAUL.HOUSTON@NOTTINGHAM.AC.UK
Professor of Computational and Applied Maths
A posteriori error estimation for discontinuous Galerkin
discretizations of H(curl)-elliptic partial differential equations
Houston, Paul; Perugia, Ilaria; Schoetzau, Dominik
Authors
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.
Citation
discretizations of H(curl)-elliptic partial differential equations
Journal Article Type | Article |
---|---|
Publication Date | Jan 1, 2005 |
Deposit Date | Aug 2, 2005 |
Publicly Available Date | Oct 9, 2007 |
Peer Reviewed | Not Peer Reviewed |
Keywords | Discontinuous Galerkin methods, a posteriori error analysis, eddy current problems |
Public URL | https://nottingham-repository.worktribe.com/output/1020414 |
Files
hcurl-apost.ps
(624 Kb)
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