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dc.creatorDomínguez Baguena, Víctores_ES
dc.creatorSánchez Vizuet, Tonatiuhes_ES
dc.creatorSayas, Francisco Javieres_ES
dc.description.abstractIn this paper we present a full discretization of the layer potentials and boundary integral operators for the elastic wave equation on a parametrizable smooth closed curve in the plane. The method can be understood as a non-conforming Petrov–Galerkin discretization, with a very precise choice of testing functions by symmetrically combining elements on two staggered grids, and using a look-around quadrature formula. Unlike in the acoustic counterpart of this work, the kernel of the elastic double layer operator includes a periodic Hilbert transform that requires a particular choice of the mixing parameters. We give mathematical justification of this fact. Finally, we test the method on some frequency domain and time domain problems, and demonstrate its applicability on smooth open arcs.en
dc.description.sponsorshipThe second and third authors were partially supported by NSF grant DMS 1216356.en
dc.format.extent24 p.
dc.relation.ispartofComputers and Mathematics with Applications, 2015, 69(7), 620-635en
dc.rights© 2015 Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0.en
dc.subjectTime domain boundary integral equationsen
dc.subjectElastic wave scatteringen
dc.subjectCalderón calculusen
dc.titleA fully discrete Calderón calculus for the two-dimensional elastic wave equationen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentIngeniería Matemática e Informáticaes_ES
dc.contributor.departmentMatematika eta Informatika Ingeniaritzaeu
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.type.versionVersión aceptada / Onetsi den bertsioaes

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© 2015 Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0.
Except where otherwise noted, this item's license is described as © 2015 Elsevier Ltd. This manuscript version is made available under the CC-BY-NC-ND 4.0.

El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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