Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/16768
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chkadua, O | - |
dc.contributor.author | Mikhailov, SE | - |
dc.contributor.author | Natroshvili, D | - |
dc.date.accessioned | 2018-08-29T13:35:59Z | - |
dc.date.available | 2018-08-29T13:35:59Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Mathematical Methods in the Applied Sciences, pp. 1 - 25 | en_US |
dc.identifier.issn | 0170-4214 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/16768 | - |
dc.description.abstract | We consider the time-harmonic acoustic wave scattering by a bounded anisotropic inhomogeneity embedded in an unbounded anisotropic homogeneousmedium. The materialparametersmay have discontinuitiesacross the interfacebetween the inhomogeneous interior and homogeneous exterior regions. The corresponding mathematicalproblemis formulatedas a transmissionproblemsfora secondorderelliptic partial differential equation of Helmholtz type with discontinuous variable coefficients. Using a localised quasi-parametrix based on the harmonic fundamental solution, the transmission problem for arbitrary values of the frequency parameter is reduced equivalently to a system of singular localised boundary-domain integral equations. Fredholm properties of the corresponding localised boundarydomainintegral operatorarestudiedanditsinvertibilityisestablishedinappropriate Sobolev-Slobodetskii and Bessel potential spaces, which implies existence and uniquenessresults for the localised boundary-domainintegralequationssystem and the correspondingacoustic scattering transmission problem. | en_US |
dc.format.extent | 1 - 25 | - |
dc.language.iso | en | en_US |
dc.publisher | Wiley | en_US |
dc.subject | Acoustic scattering | en_US |
dc.subject | partial differential equations | en_US |
dc.subject | transmission problems | en_US |
dc.subject | localized parametrix | en_US |
dc.title | Singular Localised Boundary-Domain Integral Equations of Acoustic Scattering by Inhomogeneous Anisotropic Obstacle | en_US |
dc.type | Article | en_US |
dc.identifier.doi | https://doi.org/10.1002/mma.5268 | - |
dc.relation.isPartOf | Mathematical Methods in the Applied Sciences | - |
pubs.publication-status | Accepted | - |
Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
FullText.pdf | 697.79 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.