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dc.contributor.authorNunez, Leonardo Zepeda
dc.contributor.authorTaus, Matthias F
dc.contributor.authorDemanet, Laurent
dc.date.accessioned2018-05-30T17:42:05Z
dc.date.available2018-05-30T17:42:05Z
dc.date.issued2016-09
dc.identifier.issn1949-4645
dc.identifier.urihttp://hdl.handle.net/1721.1/115980
dc.description.abstractThe method of polarized traces provides the first documented algorithm with truly scalable complexity for the highfrequency Helmholtz equation, i.e., with a runtime sublinear in the number of volume unknowns in a parallel environment. However, previous versions of this method were either restricted to a low order of accuracy, or suffered from computationally unfavorable boundary reduction to ρ(p) interfaces in the p-th order case. In this note we rectify this issue by proposing a high-order method of polarized traces with compact reduction to two, rather than ρ(p), interfaces. This method is based on a primal Hybridizable Discontinuous Galerkin (HDG) discretization in a domain decomposition setting. In addition, HDG is a welcome upgrade for the method of polarized traces, since it can be made to work with flexible meshes that align with discontinuous coefficients, and it allows for adaptive refinement in h and p. High order of accuracy is very important for attenuation of the pollution error, even in settings when the medium is not smooth. We provide some examples to corroborate the convergence and complexity claims. Keywords: finite element; frequency-domain; numerical; acoustic; wave equationen_US
dc.publisherSociety of Exploration Geophysicistsen_US
dc.relation.isversionofhttp://dx.doi.org/10.1190/SEGAM2016-13848017.1en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourceMIT Web Domainen_US
dc.titleA short note on a fast and high-order hybridizable discontinuous Galerkin solver for the 2D high-frequency Helmholtz equationen_US
dc.typeArticleen_US
dc.identifier.citationTaus, Matthias et al. “A Short Note on a Fast and High-Order Hybridizable Discontinuous Galerkin Solver for the 2D High-Frequency Helmholtz Equation.” SEG Technical Program Expanded Abstracts 2016 (September 2016): 3835-3840 © 2016 SEGen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciencesen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorTaus, Matthias F
dc.contributor.mitauthorDemanet, Laurent
dc.relation.journalSEG Technical Program Expanded Abstracts 2016en_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/ConferencePaperen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dc.date.updated2018-05-17T17:29:21Z
dspace.orderedauthorsTaus, Matthias; Demanet, Laurent; Nunez, Leonardo Zepedaen_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0001-7052-5097
mit.licenseOPEN_ACCESS_POLICYen_US


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