Residual and Equilibrated Error Estimators for Magnetostatic Problems Solved by Finite Element Method

Archive ouverte : Article de revue

Tang, Zuqi | Le Menach, Yvonnick | Creusé, Emmanuel | Nicaise, Serge | Piriou, Francis | Nemitz, Nicolas

Edité par HAL CCSD ; Institute of Electrical and Electronics Engineers

International audience. In finite element computations, the choice of the mesh is crucial to obtain accurate solutions. In order to evaluate the quality of the mesh, a posteriori error estimators can be used. In this paper, we develop residual-based error estimators for magnetostatic problems with both classical formulations in term of potentials used, as well as the equilibrated error estimator. We compare their behaviors on some numerical applications, to understand the interest of each of them in the remeshing process.

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