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Space-time residual-based a posteriori estimators for the A/Phi magneto dynamic formulation of the Maxwell system

Archive ouverte : Article de revue

Creusé, Emmanuel | Nicaise, Serge | Tittarelli, Roberta

Edité par HAL CCSD ; De Gruyter

International audience. In this paper, an a posteriori residual error estimator is proposed for the A/Phi magnetodynamic Maxwell system given in its potential and space/time formulation and solved by a Finite Element method. The reliability as well as the e ciency of the estimator are established for several norms. Then, numerical tests are performed, allowing to illustrate the obtained theoretical results.

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