Resonance scattering on a hole on the boundary surface with finite symmetry group

DOI10.1134/S0012266116090068zbMath1360.65293OpenAlexW2535869891MaRDI QIDQ507708

E. V. Zakharov, S. I. Safronov

Publication date: 7 February 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266116090068

zbMATH Keywords

boundary integral equationsacousticresonance scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

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• Reduction to a boundary value problem with a finite nonabelian symmetry group based on an intertwining operator
• Boundary equations with a discontinuously acting dihedral group in boundary- value problems with rotational symmetry
• Harmonic analysis on finite groups and method for the numerical solution of boundary equations in boundary value problems with non-Abelian symmetry groups
• The problem of resonance scattering by a hole in an acoustically soft surface of revolution
• Acoustic scattering by a cross-shaped hole on a smooth boundary surface near a resonance point of the interior domain
• The computational stability of boundary equations of the first kind in problems of diffraction near resonances

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