Error estimates for a Galerkin method with perturbations for spectral problems of the theory of dielectric waveguides
- Authors: Dautov R.Z.1, Karchevskii E.M.1
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Affiliations:
- Kazan Federal University
- Issue: Vol 37, No 5 (2016)
- Pages: 610-625
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198324
- DOI: https://doi.org/10.1134/S1995080216050024
- ID: 198324
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Abstract
We obtain error estimates for a Galerkin method with perturbations for approximating eigenvalues and eigenfunctions of one class of abstract spectral problems. Using these results, we get the justification of applying the method for spectral problems of the theory of dielectric waveguides.
About the authors
R. Z. Dautov
Kazan Federal University
Author for correspondence.
Email: rdautov@kpfu.ru
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008
E. M. Karchevskii
Kazan Federal University
Email: rdautov@kpfu.ru
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008