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dc.contributor.authorVillamizar, Vianey
dc.contributor.authorGrundvig, Dane
dc.contributor.authorRojas, Otilio
dc.contributor.authorAcosta, Sebastian
dc.contributor.otherBarcelona Supercomputing Center
dc.date.accessioned2021-05-19T16:23:24Z
dc.date.issued2020
dc.identifier.citationVillamizar, V. [et al.]. High order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods. "Wave Motion", 2020, vol. 95, 102529.
dc.identifier.issn0165-2125
dc.identifier.urihttp://hdl.handle.net/2117/345928
dc.description.abstractArbitrary high order numerical methods for time-harmonic acoustic scattering problems originally defined on unbounded domains are constructed. This is done by coupling recently developed high order local absorbing boundary conditions (ABCs) with finite difference methods for the Helmholtz equation. These ABCs are based on exact representations of the outgoing waves by means of farfield expansions. The finite difference methods, which are constructed from a deferred-correction (DC) technique, approximate the Helmholtz equation and the ABCs, with the appropriate number of terms, to any desired order. As a result, high order numerical methods with an overall order of convergence equal to the order of the DC schemes are obtained. A detailed construction of these DC finite difference schemes is presented. Additionally, a rigorous proof of the consistency of the DC schemes with the Helmholtz equation and the ABCs in polar coordinates is also given. The results of several numerical experiments corroborate the high order convergence of the novel method.
dc.description.sponsorshipThe first and third authors acknowledge the support provided by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant No 777778 (MATHROCKS), and by the Office of Research and Creative Activities (ORCA) of Brigham Young University, United States of America. The work of S. Acosta was partially supported by National Science Foundation, United States of America [grant number DMS-1712725]. O. Rojas was also partially supported by the European Union’s Horizon 2020 research and innovation programme under the ChEESE project, grant agreement No. 823844.
dc.format.extent24 p.
dc.language.isoeng
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica::Aplicacions informàtiques a la física i l‘enginyeria
dc.subject.lcshHigh performance computing
dc.subject.otherAcoustic scattering
dc.subject.otherHigh order absorbing boundary conditions
dc.subject.otherHelmholtz equation
dc.subject.otherHigh order numerical methods
dc.subject.otherDeferred-correction methods
dc.titleHigh order methods for acoustic scattering: Coupling farfield expansions ABC with deferred-correction methods
dc.typeArticle
dc.subject.lemacCàlcul intensiu (Informàtica)
dc.subject.lemacHelmholtz, Equació de
dc.identifier.doi10.1016/j.wavemoti.2020.102529
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/abs/pii/S0165212519304202#!
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (author's final draft)
dc.date.lift2022-02-11
local.citation.other102529
local.citation.publicationNameWave Motion
local.citation.volume95


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Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain