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...
| Main Authors: | , , |
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| Format: | Article |
| Published: |
2005
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| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/154/ |
| Summary: | 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. |
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