Fully discrete nite element approaches fortime - dependent
نویسنده
چکیده
A fully discrete nite element method is used to approximate the electric eld equation derived from Maxwell equations in three dimensional polyhedral domains. Optimal energy-norm error estimates are achieved for general Lipschitz polyhedral domains. Optimal L 2-norm error estimates are obtained for convex polyhedral domains. R esum e On r esout, dans un domaine poly edrique, les equations de Maxwell tem-porelles. Une m ethode par el ements nis discr ete en temps et en espace est propos ee pour calculer le champ electrique. Une estimation d'ordre optimal est obtenue pour l'erreur en norme-energie dans le cas g en eral. Pour la norme L 2 , on obtient une estimation optimale dans le cas d'un poly edre convexe. A running title: Fully discrete schemes for Maxwell equations.
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