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Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials

dc.contributor.authorAraújo, Adérito
dc.contributor.authorBarbeiro, Sílvia
dc.contributor.authorKhaksar Ghalati, Maryam
dc.date.accessioned2023-05-31T10:48:55Z
dc.date.available2023-05-31T10:48:55Z
dc.date.issued2018
dc.description.abstractWe propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials and derive its convergence properties. The a priori error estimates are illustrated by numerical means in some experiments. Motivated by a real application which encompasses modeling electromagnetic wave’s propagation through the eye’s structures, we simulate our model in a 2D domain aiming to represent a simple example of light scattering in the outer nuclear layer of the retina.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationAraújo, A., Barbeiro, S., & Khaksar Ghalati, M. (2018). Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials. Journal of Mathematics in Industry, 8(9). https://doi.org/10.1186/s13362-018-0051-6pt_PT
dc.identifier.doi10.1186/s13362-018-0051-6pt_PT
dc.identifier.issn2190-5983
dc.identifier.urihttp://hdl.handle.net/10400.8/8542
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerOpenpt_PT
dc.relation.publisherversionhttps://mathematicsinindustry.springeropen.com/articles/10.1186/s13362-018-0051-6#citeaspt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectMaxwell’s equationspt_PT
dc.subjectExplicit iterative leap-frog discontinuous Galerkin methodpt_PT
dc.subjectConvergencept_PT
dc.subjectLight scatteringpt_PT
dc.titleConvergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materialspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue9pt_PT
oaire.citation.titleJournal of Mathematics in Industrypt_PT
oaire.citation.volume8pt_PT
person.familyNameKhaksar Ghalati
person.givenNameMaryam
person.identifier.orcid0000-0002-6009-7946
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication27573825-68f2-4143-838b-61c99dc3b296
relation.isAuthorOfPublication.latestForDiscovery27573825-68f2-4143-838b-61c99dc3b296

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