A new nonconforming finite element method for the computation of electromagnetic guided waves I: Mathematical analysis

P. Joly; C. Poirier; J. E. Roberts; P. Trouve

doi:10.1137/S0036142993256817

A new nonconforming finite element method for the computation of electromagnetic guided waves I: Mathematical analysis

P. Joly
, C. Poirier
, J. E. Roberts
, P. Trouve

Thales Group
INRIA Institut National de Recherche en Informatique et en Automatique
Thomson-CSF

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

13 Citations (Scopus)

Résumé

We are concerned with the problem of computing electromagnetic guided waves in a closed, inhomogeneous, 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.

langue originale	Anglais
Pages (de - à)	1494-1525
Nombre de pages	32
journal	SIAM Journal on Numerical Analysis
Volume	33
Numéro de publication	4
Les DOIs	https://doi.org/10.1137/S0036142993256817
état	Publié - 1 janv. 1996

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10.1137/S0036142993256817

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title = "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, inhomogeneous, 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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AB - We are concerned with the problem of computing electromagnetic guided waves in a closed, inhomogeneous, 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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KW - Electromagnetic guided waves

KW - Mixed finite elements

KW - Nonconforming finite elements

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A new nonconforming finite element method for the computation of electromagnetic guided waves I: Mathematical analysis

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