Abstract
In order to improve the finite element modeling of macroscopic eddy currents, a quadratic energy-based error criterion is derived from a thermodynamic description of electromagnetism. While the conservation of the electromagnetic power is assessed locally to highlight the ill-checked elements, the state functions provide the global convergence of the calculation within an adaptative procedure. The criterion is shown: suitable for 2D and 3D, independent of the formulation, supporting the body motion. A validation is given on a Thomson's effect device.