Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems |
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Authors: | E Creusé Y Le Menach S Nicaise F Piriou R Tittarelli |
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Abstract: | In this paper a guaranteed equilibrated error estimator is developed for the 3D harmonic magnetodynamic problem of Maxwell’s system. This system is recasted in the classical potential formulation and solved by the Finite Element method. The error estimator is built starting from the numerical solution by a local flux reconstruction technique. Its equivalence with the error in the energy norm is established. A comparison of this estimator with an equilibrated error estimator already developed through a complementary problem points out the advantages and drawbacks of these two estimators. In particular, an analytical benchmark test illustrates the obtained theoretical results and a physical benchmark test shows the efficiency of these two estimators. |
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Keywords: | A posteriori estimator Eddy current problem Finite element method Nédélec and Raviart–Thomas elements Time-harmonic analysis 3D problem |
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