Fully discrete finite element approaches for time-dependent Maxwell's equations

@article{Ciarlet1999FullyDF,
  title={Fully discrete finite element approaches for time-dependent Maxwell's equations},
  author={Patrick Ciarlet and Jun Zou},
  journal={Numerische Mathematik},
  year={1999},
  volume={82},
  pages={193-219}
}
Abstract. A fully discrete finite element method is used to approximate the electric field equation derived from time-dependent Maxwell's 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.Résumé. On résout, dans un domaine polyédrique, les équations de Maxwell temporelles. Une méthode par éléments finis discrète en temps et en… CONTINUE READING

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