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Error estimates for a Galerkin method with perturbations for spectral problems of the theory of dielectric waveguides


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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

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