Nonconforming Maxwell eigensolvers

Document Type


Publication Date



Three Maxwell eigensolvers are discussed in this paper. Two of them use classical nonconforming finite element approximations, and the other is an interior penalty type discontinuous Galerkin method. A main feature of these solvers is that they are based on the formulation of the Maxwell eigenproblem on the space H (curl;Ω)∩H(div ;Ω). These solvers are free of spurious eigenmodes and they do not require choosing penalty parameters. Furthermore, they satisfy optimal order error estimates on properly graded meshes, and their analysis is greatly simplified by the underlying compact embedding of H (curl;Ω)∩H(div ;Ω) in L (Ω). The performance and the relative merits of these eigensolvers are demonstrated through numerical experiments. © 2009 Springer Science+Business Media, LLC. 0 0 2 0 0

Publication Source (Journal or Book title)

Journal of Scientific Computing

First Page


Last Page


This document is currently not available here.