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Finite element method for the diffraction problem in a waveguide

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Abstract

The convergence of the finite element method (FEM) as applied to the diffraction problem in a waveguide in the case when there is no damping in the medium filling the waveguide is proved. A functional space that takes into account the partial radiation conditions is introduced to carry out the proof. A highly accurate approximation method for the partial radiation conditions is considered.

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References

  1. A. S. Il’inskii, V. V. Kravtsov, and A. G. Sveshnikov, Mathematical Models in Electrodynamics (Vysshaya Shkola, Moscow, 1991) [in Russian].

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  2. A. L. Delitsyn, “On the Problem of Scattering in a Nonuniform Waveguide,” Zh. Vychisl. Mat. Mat. Fiz. 40(1), 606–610 (2000) [Comput. Math. Math. Phys., 577–581 (2000)].

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  3. M. A. Krasnosel’skii, G. M. Vainikko, P. P. Zabreiko, et al., Approximate Solution of Operator Equations (Nauka, Moscow, 1969) [in Russian].

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  4. D. Selivanov, A Course in Finite Difference Calculus (St. Petersburg, 1908) [in Russian].

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Moscow, 119991, Russia

    A. L. Delitsyn

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  1. A. L. Delitsyn
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Correspondence to A. L. Delitsyn.

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Original Russian Text © A.L. Delitsyn, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 11, pp. 1926–1930.

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Delitsyn, A.L. Finite element method for the diffraction problem in a waveguide. Comput. Math. and Math. Phys. 50, 1825–1829 (2010). https://doi.org/10.1134/S0965542510110060

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  • DOI: https://doi.org/10.1134/S0965542510110060

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