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...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Differential equations 2016-09, Vol.52 (9), p.1150-1162
Hauptverfasser:	Zakharov, E. V., Safronov, S. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	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
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	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.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266116090068