A posteriori error estimation for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations
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 propose...
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| Format: | Article |
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2005
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| Online Access: | https://eprints.nottingham.ac.uk/154/ |
| _version_ | 1848790351075082240 |
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| author | Houston, Paul Perugia, Ilaria Schoetzau, Dominik |
| author_facet | Houston, Paul Perugia, Ilaria Schoetzau, Dominik |
| author_sort | Houston, Paul |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:11:14Z |
| format | Article |
| id | nottingham-154 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:11:14Z |
| publishDate | 2005 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-1542020-05-04T20:30:51Z https://eprints.nottingham.ac.uk/154/ A posteriori error estimation for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations Houston, Paul Perugia, Ilaria Schoetzau, Dominik 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. 2005 Article NonPeerReviewed Houston, Paul, Perugia, Ilaria and Schoetzau, Dominik (2005) A posteriori error estimation for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations. Discontinuous Galerkin methods a posteriori error analysis eddy current problems |
| spellingShingle | Discontinuous Galerkin methods a posteriori error analysis eddy current problems Houston, Paul Perugia, Ilaria Schoetzau, Dominik A posteriori error estimation for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations |
| title | A posteriori error estimation for discontinuous Galerkin
discretizations of H(curl)-elliptic partial differential equations |
| title_full | A posteriori error estimation for discontinuous Galerkin
discretizations of H(curl)-elliptic partial differential equations |
| title_fullStr | A posteriori error estimation for discontinuous Galerkin
discretizations of H(curl)-elliptic partial differential equations |
| title_full_unstemmed | A posteriori error estimation for discontinuous Galerkin
discretizations of H(curl)-elliptic partial differential equations |
| title_short | A posteriori error estimation for discontinuous Galerkin
discretizations of H(curl)-elliptic partial differential equations |
| title_sort | posteriori error estimation for discontinuous galerkin
discretizations of h(curl)-elliptic partial differential equations |
| topic | Discontinuous Galerkin methods a posteriori error analysis eddy current problems |
| url | https://eprints.nottingham.ac.uk/154/ |