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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Gurel, L. |
| Copyright Year | 2014 |
| Description | Author affiliation: Bilkent Univ. Comput. Electromagn. Res. Center (BiLCEM), Ankara, Turkey (Gurel, L.) |
| 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. |
| Starting Page | 287 |
| Ending Page | 287 |
| File Size | 67825 |
| Page Count | 1 |
| File Format | |
| ISBN | 9781479937462 |
| DOI | 10.1109/USNC-URSI.2014.6955670 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2014-07-06 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Laplace equations Fluid dynamics Integral equations Educational institutions Complexity theory Mathematical model Equations |
| Content Type | Text |
| Resource Type | Article |
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