Modified Rayleigh Conjecture method for multidimensional obstacle scattering problems

dc.creatorGutman, S.
dc.creatorRamm, A. G.
dc.date2004-09-18
dc.date.accessioned2026-07-07T04:31:28Z
dc.date.available2026-07-07T04:31:28Z
dc.descriptionThe Rayleigh conjecture on the representation of the scattered field in the exterior of an obstacle $D$ is widely used in applications. However this conjecture is false for some obstacles. AGR introduced the Modified Rayleigh Conjecture (MRC), and in this paper we present successful numerical algorithms based on the MRC for various 2D and 3D obstacle scattering problems. The 3D obstacles include a cube and an ellipsoid. The MRC method is easy to implement for both simple and complex geometries. It is shown to be a viable alternative for other obstacle scattering methods.
dc.description10pp
dc.identifierhttps://arxiv.org/abs/math-ph/0409047
dc.identifierhttp://arxiv.org/abs/math-ph/0409047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57824
dc.subjectMathematical Physics
dc.subject78A46, 65N21, 35R30
dc.titleModified Rayleigh Conjecture method for multidimensional obstacle scattering problems
dc.typetext

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