Analysis of an Algorithm for Computing Electromagnetic Bloch Modes Using Nedelec Spaces

David C. Dobson, Joseph E. Pasciak
2001 Computational Methods in Applied Mathematics  
AbstractThe problem of approximating the band structure of electromagnetic Bloch modes in a three-dimensional periodic medium is studied. We analyze a mixed finite element approximation technique based on a variation of Nedelec edge elements. The usual conditions for convergence of the static problem are first verified. Subsequently, convergence of approximate eigenvalues to those of the continuous system is proved.
doi:10.2478/cmam-2001-0010 fatcat:ae24vzrvvze25oxh3pghwvb5i4