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