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Self-Adaptive hp Finite Element Method with Iterative Mesh Truncation Technique Accelerated with Adaptive Cross Approximation

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dc.affiliation.dptoUC3M. Departamento de Teoría de la Señal y Comunicacioneses
dc.contributor.authorBarrio Garrido, Rosa María
dc.contributor.authorGarcía Castillo, Luis Emilio
dc.contributor.authorGómez Revuelto, Ignacio
dc.contributor.authorSalazar Palma, Magdalena
dc.date.accessioned2022-09-26T08:12:55Z
dc.date.available2022-09-26T08:12:55Z
dc.date.issued2016-05-01
dc.description.abstractTo alleviate the computational bottleneck of a powerful two-dimensional self-adaptive hp finite element method (FEM) for the analysis of open region problems, which uses an iterative computation of the Integral Equation over a fictitious boundary for truncating the FEM domain, we propose the use of Adaptive Cross Approximation (ACA) to effectively accelerate the computation of the Integral Equation. It will be shown that in this context ACA exhibits a robust behavior, yields good accuracy and compression levels up to 90%, and provides a good fair control of the approximants, which is a crucial advantage for hp adaptivity. Theoretical and empirical results of performance (computational complexity) comparing the accelerated and non-accelerated versions of the method are presented. Several canonical scenarios are addressed to resemble the behavior of ACA with h, p and hp adaptive strategies, and higher order methods in general.en
dc.description.sponsorshipThis work has been supported by the Ministerio de Educacion y Ciencia, Spain, under Projects TEC2007-65214/TCM, TEC2010-18175/TCM, EC2013-47753-C3-2 and RTC 2014-23 80-4.en
dc.format.extent22
dc.identifier.doihttps://doi.org/10.1016/j.camwa.2016.02.030
dc.identifier.issn0898-1221
dc.identifier.publicationfirstpage1911
dc.identifier.publicationissue10
dc.identifier.publicationlastpage1932
dc.identifier.publicationtitleComputers & Mathematics with Applicationsen
dc.identifier.publicationvolume71
dc.identifier.urihttps://hdl.handle.net/10016/35780
dc.identifier.uxxiAR/0000017882
dc.language.isoeng
dc.publisherElsevieren
dc.relation.projectIDGobierno de España. TEC2013-47753-C3-2-Res
dc.relation.projectIDGobierno de España. TEC2007-65214/TCMes
dc.relation.projectIDGobierno de España. TEC2010-18175/TCMes
dc.relation.projectIDGobierno de España. RTC 2014-23 80-4es
dc.rights© 2016 Elsevier Ltd.en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaInformáticaes
dc.subject.ecienciaMatemáticases
dc.subject.otherFinite element methoden
dc.subject.otherAdaptive cross approximationen
dc.subject.otherHp-adaptivityen
dc.subject.otherOpen region scattering problemsen
dc.subject.otherFast methoden
dc.subject.otherPec scattering problemsen
dc.subject.otherRadiation problemsen
dc.subject.otherElectromagnetic scatteringen
dc.subject.otherAlgorithmen
dc.subject.otherMatricesen
dc.subject.otherWavesen
dc.titleSelf-Adaptive hp Finite Element Method with Iterative Mesh Truncation Technique Accelerated with Adaptive Cross Approximationen
dc.typeresearch article*
dc.type.hasVersionSMUR*
dspace.entity.typePublication
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