A Posteriori Error Estimator for Finite Element Simulation of Electromagnetic Material Processing
- Resource Type
- Periodical
- Authors
- Jesus O., G.C.; Jose R., A.Z.; Julien, B.; Francois, B.
- Source
- IEEE Transactions on Magnetics IEEE Trans. Magn. Magnetics, IEEE Transactions on. 58(12):1-16 Dec, 2022
- Subject
- Fields, Waves and Electromagnetics
Finite element analysis
Computational modeling
Electromagnetics
Mathematical models
Numerical models
Error analysis
Magnetic domains
Coupled multiphysics problems
electromagnetic processes
error analysis
finite-element modeling
mesh adaptation
- Language
- ISSN
- 0018-9464
1941-0069
This article focuses on the development of error estimators for evaluating the accuracy of finite-element computations of the electromagnetic phenomena for electromagnetic material processing modeling. The ultimate goal of this work is to enable adaptive anisotropic remeshing in order to reach a prescribed accuracy. We first introduce a numerical model based on the quasi-steady-state approximation of the Maxwell’s equations in a time-domain formalism. We then introduce an estimator based on a recovery method; its results will be compared with other estimators based on investigating how accurately some of the electromagnetic equations are checked. The estimators are then validated on analytical cases; an additional application to a complex case shows the robustness of our approach. Scientific advances of this work include the development of a robust field recovery strategy for error computation, as well as the introduction of a general purpose error normalization scheme which overcomes field scale bias enabling seamless comparison of errors from different physical fields.