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On the influence of numerical integration on mixed finite element approximations of a Maxwell eigenvalue problem

✍ Scribed by Wouter Hamelinck

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
619 KB
Volume
223
Category
Article
ISSN
0377-0427

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✦ Synopsis

The behaviour of electromagnetic resonances in cavities is modelled by a Maxwell eigenvalue problem (EVP). In the present work, we rewrite the corresponding variational problem, as it arises with a view to the application of a finite element method, in a mixed formulation. For the modelling of realistic problems the integrals occurring in this mixed formulation often cannot be evaluated exactly. We take into account the error arising from numerical quadrature and show convergence to the approximations using exact integration. Finally, some numerical results are presented.

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