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

Author:

Dobson David C.1,Pasciak Joseph E.1

Affiliation:

1. 1Department of Mathematics, Texas A M University, College Station, TX 77843-3368.

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

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