dc.contributor.author | Fernandez del Campo, Pablo | |
dc.contributor.author | Christophe, A. | |
dc.contributor.author | Terrana, Sebastien | |
dc.contributor.author | Nguyen, Ngoc C. | |
dc.contributor.author | Peraire, Jaime | |
dc.date.accessioned | 2019-11-06T20:22:46Z | |
dc.date.available | 2019-11-06T20:22:46Z | |
dc.date.issued | 2018-09-05 | |
dc.date.submitted | 2017-12 | |
dc.identifier.issn | 0885-7474 | |
dc.identifier.issn | 1573-7691 | |
dc.identifier.uri | https://hdl.handle.net/1721.1/122780 | |
dc.description.abstract | We present the recent development of hybridizable and embedded discontinuous Galerkin (DG) methods for wave propagation problems in fluids, solids, and electromagnetism. In each of these areas, we describe the methods, discuss their main features, display numerical results to illustrate their performance, and conclude with bibliography notes. The main ingredients in devising these DG methods are (1) a local Galerkin projection of the underlying partial differential equations at the element level onto spaces of polynomials of degree k to parametrize the numerical solution in terms of the numerical trace; (2) a judicious choice of the numerical flux to provide stability and consistency; and (3) a global jump condition that enforces the continuity of the numerical flux to obtain a global system in terms of the numerical trace. These DG methods are termed hybridized DG methods, because they are amenable to hybridization (static condensation) and hence to more efficient implementations. They share many common advantages of DG methods and possess some unique features that make them well-suited to wave propagation problems. Keywords: Hybridized discontinuous Galerkin methods, Wave propagation, Fluids, Solids, Electromagnetism | en_US |
dc.description.sponsorship | United States. Air Force. Office of Scientific Research (FA9550-15-1-0276 and FA9550-16-1-0214) | en_US |
dc.description.sponsorship | United States. National Aeronautics and Space Administration (NNX16AP15A) | en_US |
dc.description.sponsorship | Pratt & Whitney Aircraft Group | en_US |
dc.description.sponsorship | Fundacio Caixa de Pensions | en_US |
dc.description.sponsorship | Massachusetts Institute of Technology. Office of Graduate Education. | en_US |
dc.language.iso | en | |
dc.publisher | Springer Science+Business Media | en_US |
dc.relation.isversionof | https://doi.org/10.1007/s10915-018-0811-x | 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 | arXiv | en_US |
dc.subject | Theoretical Computer Science | en_US |
dc.subject | General Engineering | en_US |
dc.subject | Computational Theory and Mathematics | en_US |
dc.subject | Software | en_US |
dc.title | Hybridized Discontinuous Galerkin Methods for Wave Propagation | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Fernandez, P. et al. "Hybridized Discontinuous Galerkin Methods for Wave Propagation." Journal of Scientific Computing, vol.77, 3 (December 2018): 1566-1604. © 2018 Springer Science+Business Media | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics | en_US |
dc.relation.journal | Journal of Scientific Computing | en_US |
dc.eprint.version | Original manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
dc.date.updated | 2019-10-30T17:39:40Z | |
dspace.date.submission | 2019-10-30T17:39:48Z | |
mit.journal.volume | 77 | en_US |
mit.journal.issue | 3 | en_US |