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

Houston, Paul; Perugia, Ilaria; Schoetzau, Dominik

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• Peer Reviewed: Not Peer Reviewed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