A New nonconforming finite element method for the computation of electromagnetic guided waves (I) mathematical analysis

Abstract : We are concerned with the problem of computing electromagnetic guided waves in a closed, inomogeneous, cylindrical wave guide. These waves correspond to solutions of an eigenvalue problem and classical methods produce in addition to approximations to the solutions, spurious modes which are particularly troublesome because they correspond to nonzero approximations of the 0 eigenvalue. A nonconforming finite element method for the calculation of guided waves without spurious modes is introduced and analyzed.
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https://hal.inria.fr/inria-00074603
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Submitted on : Wednesday, May 24, 2006 - 3:52:52 PM
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Patrick Joly, Christine Poirier, Jean Roberts, P. Trouve. A New nonconforming finite element method for the computation of electromagnetic guided waves (I) mathematical analysis. [Research Report] RR-2069, INRIA. 1993. ⟨inria-00074603⟩

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