Finite element mesh adaptation strategies from residual and hierarchical error estimators in eddy current problems

Patrick Dular (1) , Yvonnick Le Menach (2) , Zuqi Tang (3) , Emmanuel Creusé (4, 5) , Francis Piriou (2)

1 ACE - Applied and Computational Electromagnetics [Liège]
2 L2EP - Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697
3 SERENA - Simulation for the Environment : Reliable and Efficient Numerical Algorithms
4 RAPSODI - Reliable numerical approximations of dissipative systems
5 LPP - Laboratoire Paul Painlevé - UMR 8524

A strategy of mesh adaptation in eddy current finite element modeling is developed from both residual and hierarchical error estimators. Wished distributions of element sizes of adapted meshes are determined from the element-wise local contributions to the estimators and define constraints for the mesh generator. Uniform distributions of the local error are searched.

Domaines: Analyse numérique [math.NA]

Patrick Dular, Yvonnick Le Menach, Zuqi Tang, Emmanuel Creusé, Francis Piriou. Finite element mesh adaptation strategies from residual and hierarchical error estimators in eddy current problems. IEEE Transactions on Magnetics, 2015, 51 (3), ⟨10.1109/TMAG.2014.2352553⟩. ⟨hal-01243654⟩