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

We consider optimal, in the number of operations, computation schemes for the solution of the problem of resonance scattering on a hole on a boundary surface with a discontinuously acting group. We show that the numerical solution of the diffraction problem on the hole can be represented as a discre...

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Veröffentlicht in:Differential equations 2016-09, Vol.52 (9), p.1150-1162
Hauptverfasser: Zakharov, E. V., Safronov, S. I.
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description We consider optimal, in the number of operations, computation schemes for the solution of the problem of resonance scattering on a hole on a boundary surface with a discontinuously acting group. We show that the numerical solution of the diffraction problem on the hole can be represented as a discrete analog of the potential density of a simple layer on the boundary surface.
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source SpringerLink Journals - AutoHoldings
subjects Boundaries
Boundary conditions
Boundary value problems
Density
Difference and Functional Equations
Differential equations
Diffraction
Euclidean space
Helmholtz equations
Integral Equations
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Optimization
Ordinary Differential Equations
Partial Differential Equations
Radiation
Resonance scattering
Studies
Symmetry
title Resonance scattering on a hole on the boundary surface with finite symmetry group
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