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dc.contributor.authorZepeda Nunez, Leonardo Andres
dc.contributor.authorScheuer, Adrien
dc.contributor.authorHewett, Russell
dc.contributor.authorDemanet, Laurent
dc.date.accessioned2020-03-24T13:13:30Z
dc.date.available2020-03-24T13:13:30Z
dc.date.issued2019-07
dc.date.submitted2019-02
dc.identifier.issn1942-2156
dc.identifier.issn0016-8033
dc.identifier.urihttps://hdl.handle.net/1721.1/124220
dc.description.abstractWe present a fast solver for the 3D high-frequency Helmholtz equation in heterogeneous, constant density, acoustic media. The solver is based on the method of polarized traces, coupled with distributed linear algebra libraries and pipelining to obtain an empirical online runtime O(max(1, R/n)N log N) where N = n³ is the total number of degrees of freedom and R is the number of right-hand sides. Such a favorable scaling is a prerequisite for large-scale implementations of full waveform inversion (FWI) in frequency domain.en_US
dc.description.sponsorshipUnited States. Air Force. Office of Scientific Research (Grant: FA9550-17-1-0316)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant: DMS-1255203)en_US
dc.language.isoen
dc.publisherSociety of Exploration Geophysicistsen_US
dc.relation.isversionof10.1190/GEO2018-0153.1en_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.titleThe method of polarized traces for the 3D Helmholtz equationen_US
dc.typeArticleen_US
dc.identifier.citationZepeda-Núñez, Leonardo, Adrien Scheuer, Russell J. Hewett, and Laurent Demanet, "The Method of Polarized Traces for the 3D Helmholtz Equation." Geophysics 84, 4 (July 2019): T313-T333. ©2019 Author(s)en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Earth Resources Laboratoryen_US
dc.relation.journalGeophysicsen_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.updated2019-11-12T14:21:02Z
dspace.date.submission2019-11-12T14:21:13Z
mit.journal.volume84en_US
mit.journal.issue4en_US


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