Email this article Discretization Methods for Three-Dimensional Singular Integral Equations of Electromagnetism
- Authors: Samokhin A.B.1, Samokhina A.S.2, Shestopalov Y.V.3
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Affiliations:
- Moscow Technological University (MIREA)
- Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences
- Faculty of Engineering and Sustainable Development
- Issue: Vol 54, No 9 (2018)
- Pages: 1225-1235
- Section: Integral Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154837
- DOI: https://doi.org/10.1134/S0012266118090100
- ID: 154837
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Abstract
Theorems providing the convergence of approximate solutions of linear operator equations to the solution of the original equation are proved. The obtained theorems are used to rigorously mathematically justify the possibility of numerical solution of the 3D singular integral equations of electromagnetism by the Galerkin method and the collocation method.
About the authors
A. B. Samokhin
Moscow Technological University (MIREA)
Author for correspondence.
Email: absamokhin@yandex.ru
Russian Federation, Moscow, 119454
A. S. Samokhina
Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences
Email: absamokhin@yandex.ru
Russian Federation, Moscow, 117997
Yu. V. Shestopalov
Faculty of Engineering and Sustainable Development
Email: absamokhin@yandex.ru
Sweden, Gävle, 80176
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