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dc.creatorDomínguez Baguena, Víctores_ES
dc.creatorTurc, Catalines_ES
dc.date.accessioned2023-01-25T07:50:41Z
dc.date.available2023-01-25T07:50:41Z
dc.date.issued2022
dc.identifier.citationDomínguez, V., & Turc, C. (2022). Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems. IMA Journal of Applied Mathematics, hxac018. https://doi.org/10.1093/imamat/hxac018en
dc.identifier.issn0272-4960
dc.identifier.urihttps://hdl.handle.net/2454/44596
dc.description.abstractWe introduce and analyse various regularized combined field integral equations (CFIER) formulations of time-harmonic Navier equations in media with piece-wise constant material properties. These formulations can be derived systematically starting from suitable coercive approximations of Dirichlet-to-Neumann operators (DtN), and we present a periodic pseudodifferential calculus framework within which the well posedness of CIER formulations can be established. We also use the DtN approximations to derive and analyse OS methods for the solution of elastodynamics transmission problems. The pseudodifferential calculus we develop in this paper relies on careful singularity splittings of the kernels of Navier boundary integral operators, which is also the basis of high-order Nystrom quadratures for their discretizations. Based on these high-order discretizations we investigate the rate of convergence of iterative solvers applied to CFIER and OS formulations of scattering and transmission problems. We present a variety of numerical results that illustrate that the CFIER methodology leads to important computational savings over the classical CFIE one, whenever iterative solvers are used for the solution of the ensuing discretized boundary integral equations. Finally, we show that the OS methods are competitive in the high-frequency high-contrast regime.en
dc.description.sponsorshipCatalin Turc gratefully acknowledges support from National Science Foundation (NSF) through contract DMS-1614270 and DMS-1908602.en
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherOxford University Pressen
dc.relation.ispartofIMA Journal of Applied Mathematics 2022, 87 (4),647-706en
dc.rights© The Author(s) 2022. This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectTime-harmonic Navier scattering and transmission problemsen
dc.subjectBoundary integral equationsen
dc.subjectPreconditionersen
dc.subjectDomain decomposition methodsen
dc.subjectAMS subject classificationsen
dc.titleBoundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problemsen
dc.typeArtículo / Artikuluaes
dc.typeinfo:eu-repo/semantics/articleen
dc.date.updated2023-01-25T07:39:54Z
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute for Advanced Materials and Mathematics - INAMAT2es_ES
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.doi10.1093/imamat/hxac018
dc.relation.publisherversionhttps://doi.org/10.1093/imamat/hxac018
dc.type.versionVersión publicada / Argitaratu den bertsioaes
dc.type.versioninfo:eu-repo/semantics/publishedVersionen


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© The Author(s) 2022. This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
Except where otherwise noted, this item's license is described as © The Author(s) 2022. This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.

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