On the application of Mosaic-Skeleton approximations of matrices in electrodynamics problems with impedance boundary conditions

DOI10.1134/S199508022309038XOpenAlexW4389541678MaRDI QIDQ6180989

S. L. Stavtsev, Alexey V. Setukha

Publication date: 22 January 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508022309038x

zbMATH Keywords

integral equationsMaxwell's equationsimpedance boundary conditionfast matrix algorithms

Mathematics Subject Classification ID

Basic methods for problems in optics and electromagnetic theory (78Mxx) General topics in optics and electromagnetic theory (78Axx) Numerical methods for integral equations, integral transforms (65Rxx)

Cites Work

• Numerical solution of 3D problems of electromagnetic wave diffraction on a system of ideally conducting surfaces by the method of hypersingular integral equations
• Incomplete cross approximation in the mosaic-skeleton method
• Parallel implementation for some applications of integral equations method
• The method of hypersingular integral equations in the problem of electromagnetic wave diffraction by a dielectric body with a partial perfectly conducting coating
• Method of boundary integral equations in the problem of diffraction of a monochromatic electromagnetic wave by a system of perfectly conducting and piecewise homogeneous dielectric objects
• Low rank methods of approximation in an electromagnetic problem
• The method of relocation of boundary condition for the problem of electromagnetic wave scattering by perfectly conducting thin objects
• Integral Equation Methods in Scattering Theory
• The Method of Moments in Electromagnetics

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