Fast multipole methods in service of various scientific disciplines
buir.contributor.author | Gürel, Levent | |
dc.citation.epage | 287 | en_US |
dc.citation.spage | 287 | en_US |
dc.contributor.author | Gürel, Levent | en_US |
dc.coverage.spatial | Memphis, TN, USA | en_US |
dc.date.accessioned | 2016-02-08T11:36:25Z | |
dc.date.available | 2016-02-08T11:36:25Z | |
dc.date.issued | 2014 | en_US |
dc.department | Computational Electromagnetics Research Center (BiLCEM) | en_US |
dc.description | Date of Conference: 6-11 July 2014 | en_US |
dc.description.abstract | For more than two decades, several forms of fast multipole methods have been extremely successful in various scientific disciplines. Reduced complexity solutions are obtained for solving different forms of equations that are derived from Maxwell's equations, such as Helmholtz's equation for electrodynamics and Laplace's equation for electrostatics. Fast multipole solvers are developed for and applied to the integral equations derived from Helmholtz's and Laplace's equations. Fast multipole solvers are kernel-dependent techniques, i.e., they rely on certain analytical properties of the integral-equation kernels, such as diagonalizability. Electromagnetics is not the only discipline benefiting from the fast multipole methods; a plethora of computations in various disciplines, such as the solution of Schroedinger's equation in quantum mechanics and the calculation of gravitational force in astrophysics, to name a few, exploit the reduced-complexity nature of the fast multipole methods. Acoustics, molecular dynamics, structural mechanics, and fluid dynamics can be mentioned as other disciplines served by the fast multipole methods. © 2014 IEEE. | en_US |
dc.description.provenance | Made available in DSpace on 2016-02-08T11:36:25Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2014 | en |
dc.identifier.doi | 10.1109/USNC-URSI.2014.6955670 | en_US |
dc.identifier.uri | http://hdl.handle.net/11693/26808 | |
dc.language.iso | English | en_US |
dc.publisher | IEEE | en_US |
dc.relation.isversionof | https://doi.org/10.1109/USNC-URSI.2014.6955670 | en_US |
dc.source.title | 2014 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium) | en_US |
dc.subject | Astrophysics | en_US |
dc.subject | Laplace equation | en_US |
dc.subject | Laplace transforms | en_US |
dc.subject | Maxwell equations | en_US |
dc.subject | Molecular dynamics | en_US |
dc.subject | Quantum theory | en_US |
dc.subject | Schrodinger equation | en_US |
dc.subject | Analytical properties | en_US |
dc.subject | Fast multipole method | en_US |
dc.subject | Gravitational forces | en_US |
dc.subject | Helmholtz's equations | en_US |
dc.subject | Laplace's equations | en_US |
dc.subject | Maxwell's equations | en_US |
dc.subject | Scientific discipline | en_US |
dc.subject | Structural mechanics | en_US |
dc.subject | Integral equations | en_US |
dc.title | Fast multipole methods in service of various scientific disciplines | en_US |
dc.type | Conference Paper | en_US |
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