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• W2234313894 abstract "We study the asymptotic behavior of the two dimensional Helmholtz scattering problem with high wave numbers in an exterior domain, the exterior of a circle. We impose the Dirichlet boundary condition on the obstacle, which corresponds to an incidental wave. For the outer boundary, we consider the Sommerfeld conditions. Using a polar coordinates expansion, the problem is reduced to a sequence of Bessel equations. Investigating the Bessel equations mode by mode, we find that the solution of the scattering problem converges to its limit solution at a specific rate depending on k." @default.
• W2234313894 created "2016-06-24" @default.
• W2234313894 creator A5023336468 @default.
• W2234313894 creator A5059701639 @default.
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• W2234313894 date "2017-01-01" @default.
• W2234313894 modified "2023-09-25" @default.
• W2234313894 title "Asymptotic analysis of the scattering problem for the Helmholtz equations with high wave numbers" @default.
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• W2234313894 doi "https://doi.org/10.3934/dcds.2017048" @default.
• W2234313894 hasPublicationYear "2017" @default.
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