Journal of Scientific Computing

, Volume 40, Issue 1–3, pp 86–114 | Cite as

The Mortar-Discontinuous Galerkin Method for the 2D Maxwell Eigenproblem

  • Annalisa Buffa
  • Ilaria PerugiaEmail author
  • Tim Warburton


We consider discontinuous Galerkin (DG) approximations of the Maxwell eigenproblem on meshes with hanging nodes. It is known that while standard DG methods provide spurious-free and accurate approximations on the so-called k-irregular meshes, they may generate spurious solutions on general irregular meshes. In this paper we present a mortar-type method to cure this problem in the two-dimensional case. More precisely, we introduce a projection based penalization at non-conforming interfaces and prove that the obtained DG methods are spectrally correct. The theoretical results are validated in a series of numerical experiments on both convex and non convex problem domains, and with both regular and discontinuous material coefficients.


Discontinuous Galerkin methods Maxwell’s equations Eigenvalue problems Mortar methods 


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© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Istituto di Matematica Applicata e Tecnologie Informatiche–CNRPaviaItaly
  2. 2.Dipartimento di MatematicaUniversità di PaviaPaviaItaly
  3. 3.Department of Computational and Applies MathematicsRice UniversityHoustonUSA

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