Abstract
In this work, the boundary value problem for the Helmholtz equation in a half-band, corresponding to the physical problem of diffraction of TE-polarized electromagnetic wave on the wall of a resonator with a hole in a semi-infinite waveguide, is solved by the finite element method. The obtained solution is compared with the solution obtained earlier by the method of partial domains. Good correspondence between the solutions obtained by two different methods is shown. The absolute difference between the solutions was calculated. The dependence of the absolute difference on the triangulation parameter in the finite element method is given for a fixed ISLAE truncation parameter in the partial domain method.
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ACKNOWLEDGMENTS
The author thanks Professor R.Z. Dautov for help in writing the paper.
Funding
This paper has been supported by the Kazan Federal University Strategic Academic Leadership Program (‘‘PRIORITY-2030’’).
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(Submitted by E. E. Tyrtyshnikov)
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Abgaryan, G.V. Finite Element Method and Partial Area Method in One Diffraction Problem. Lobachevskii J Math 43, 1224–1231 (2022). https://doi.org/10.1134/S1995080222080029
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DOI: https://doi.org/10.1134/S1995080222080029