Enregistré dans:
Détails bibliographiques
Auteurs principaux: Han, Jiayu, Zhang, Zhimin
Format: Preprint
Publié: 2022
Sujets:
Accès en ligne:https://arxiv.org/abs/2206.03816
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Table des matières:
  • Using newly developed ${\bf H}(\mathrm{curl}^2)$ conforming elements, we solve the Maxwell's transmission eigenvalue problem. Both real and complex eigenvalues are considered. Based on the fixed-point weak formulation with reasonable assumptions, the optimal error estimates for numerical eigenvalues and eigenfunctions (in the ${\bf H}(\mathrm{curl}^2)$-norm and ${\bf H}(\mathrm{curl})$-semi-norm) are established.