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Jung, Chang-Yeol
Numerical Analysis Lab.
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dc.citation.endPage 1181 -
dc.citation.number 3 -
dc.citation.startPage 1159 -
dc.citation.title DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS -
dc.citation.volume 37 -
dc.contributor.author Bouche, Daniel -
dc.contributor.author Hong, Youngjoon -
dc.contributor.author Jung, Chang-Yeol -
dc.date.accessioned 2023-12-21T22:38:57Z -
dc.date.available 2023-12-21T22:38:57Z -
dc.date.created 2016-01-12 -
dc.date.issued 2017-03 -
dc.description.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. -
dc.identifier.bibliographicCitation DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.37, no.3, pp.1159 - 1181 -
dc.identifier.doi 10.3934/dcds.2017048 -
dc.identifier.issn 1078-0947 -
dc.identifier.scopusid 2-s2.0-85006990728 -
dc.identifier.uri https://scholarworks.unist.ac.kr/handle/201301/18135 -
dc.identifier.url http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=13498 -
dc.identifier.wosid 000390095100002 -
dc.language 영어 -
dc.publisher AMER INST MATHEMATICAL SCIENCES -
dc.title ASYMPTOTIC ANALYSIS OF THE SCATTERING PROBLEM FOR THE HELMHOLTZ EQUATIONS WITH HIGH WAVE NUMBERS -
dc.type Article -
dc.description.isOpenAccess FALSE -
dc.relation.journalWebOfScienceCategory Mathematics, Applied; Mathematics -
dc.relation.journalResearchArea Mathematics -
dc.description.journalRegisteredClass scie -
dc.description.journalRegisteredClass scopus -
dc.subject.keywordAuthor Electromagnetism -
dc.subject.keywordAuthor acoustics -
dc.subject.keywordAuthor Helmholtz equations -
dc.subject.keywordAuthor scattering problem -
dc.subject.keywordAuthor asymptotic analysis -
dc.subject.keywordPlus NONREFLECTING BOUNDARY-CONDITIONS -
dc.subject.keywordPlus NAVIER-STOKES EQUATIONS -
dc.subject.keywordPlus ROUGH SURFACES -
dc.subject.keywordPlus APPROXIMATION -
dc.subject.keywordPlus DIFFRACTION -
dc.subject.keywordPlus UNIQUENESS -
dc.subject.keywordPlus DOMAINS -
dc.subject.keywordPlus LAYERS -

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