| dc.contributor.author | Zepeda Nunez, Leonardo Andres | |
| dc.contributor.author | Scheuer, Adrien | |
| dc.contributor.author | Hewett, Russell | |
| dc.contributor.author | Demanet, Laurent | |
| dc.date.accessioned | 2020-03-24T13:13:30Z | |
| dc.date.available | 2020-03-24T13:13:30Z | |
| dc.date.issued | 2019-07 | |
| dc.date.submitted | 2019-02 | |
| dc.identifier.issn | 1942-2156 | |
| dc.identifier.issn | 0016-8033 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/124220 | |
| dc.description.abstract | We 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.sponsorship | United States. Air Force. Office of Scientific Research (Grant: FA9550-17-1-0316) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant: DMS-1255203) | en_US |
| dc.language.iso | en | |
| dc.publisher | Society of Exploration Geophysicists | en_US |
| dc.relation.isversionof | 10.1190/GEO2018-0153.1 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | MIT web domain | en_US |
| dc.title | The method of polarized traces for the 3D Helmholtz equation | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Zepeda-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.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Earth Resources Laboratory | en_US |
| dc.relation.journal | Geophysics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/ConferencePaper | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dc.date.updated | 2019-11-12T14:21:02Z | |
| dspace.date.submission | 2019-11-12T14:21:13Z | |
| mit.journal.volume | 84 | en_US |
| mit.journal.issue | 4 | en_US |
| mit.metadata.status | Complete | |
