Dans le domaine de la simulation num�rique en �lectromagn�tisme, l'�valuation d'erreur en r�gime magn�todynamique n'a pas trouv� de r�ponse pleinement satisfaisante jusqu'� maintenant. Apr�s avoir introduit la m�thode des �l�ments finis � partir d'une approche thermodynamique de l'�lectromagn�tisme, nous proposons un nouveau crit�re d'erreur �nerg�tique, qui permet d'�valuer l'erreur dans les parties conductrices si�ges de courants de Foucault. Les caract�ristiques de ce crit�re en fonction de la formulation et de l'ordre des �l�ments sont d�taill�es. Nous pr�sentons ensuite une proc�dure de maillage adaptatif reposant sur ce crit�re appliqu�e � un cas en r�gime magn�to- harmonique 2D. Une extension aux r�gimes transitoires est introduite. La convergence des grandeurs �nerg�tiques globales valide la pertinence du crit�re d'erreur propos�.

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