Results 11 to 20 of about 1,793 (184)

A simple numerical experiment of Green's function expansion in the Fast Multipole Method

open access: yesAdvanced Electromagnetics, 2017
In this paper the theoretical foundation of the fast multipole method applied to problems involving electromagnetic scattering is briefly presented, the truncation of the Green’s function expansion is revisited, and the well established truncation ...
A. J. Zozaya, P. Del Pino
doaj   +1 more source

Adaptive strategies to fast multipole method in photoionisation calculations for streamer discharges

open access: yesHigh Voltage, 2022
Recently, a new framework to compute the photoionisation rate in streamer discharges accurately and efficiently using the integral model and the fast multipole method (FMM) was presented.
Bo Lin, Chijie Zhuang
doaj   +1 more source

The Inverse Fast Multipole Method

open access: yesCoRR, 2014
This article introduces a new fast direct solver for linear systems arising out of wide range of applications, integral equations, multivariate statistics, radial basis interpolation, etc., to name a few. \emph{The highlight of this new fast direct solver is that the solver scales linearly in the number of unknowns in all dimensions.} The solver ...
Sivaram Ambikasaran, Eric Darve
openaire   +2 more sources

Accelerated Hybrid Method for Electromagnetic Scattering From Multiple Complex Targets Above a Rough Surface

open access: yesIEEE Access, 2021
A hybrid scheme that combines the pre-corrected fast Fourier transform (p-FFT) and iterative Kirchhoff approximation (IKA) is developed to solve the electromagnetic scattering from multiple complex targets above a three-dimensional (3D) rough surface ...
Guilong Tian   +3 more
doaj   +1 more source

Fast multipole methods for particle dynamics [PDF]

open access: yesMolecular Simulation, 2006
The growth of simulations of particle systems has been aided by advances in computer speed and algorithms. The adoption of O(N) algorithms to solve N-body simulation problems has been less rapid due to the fact that such scaling was only competitive for relatively large N.
J, Kurzak, B M, Pettitt
openaire   +2 more sources

Calculating for surface electric field of converter valve shield system with fast multipole curved boundary element method

open access: yesThe Journal of Engineering, 2018
The accurate and fast calculation of surface electric field of DC converter valve shield system have guiding significance in the designing process.
Yuxin Shi, Zezhong Wang, Zezhong Wang
doaj   +1 more source

Fast Evaluations of Integrals in the Ffowcs Williams–Hawkings Formulation in Aeroacoustics via the Fast Multipole Method

open access: yesAcoustics, 2023
A new approach to accelerating the evaluation of monopole and dipole source integrals via the fast multipole method (FMM) in the time domain for general three-dimensional (3-D) aeroacoustic problems is presented in this paper.
Yadong Zhang, Yijun Liu
doaj   +1 more source

Isogeometric Fast Multipole Boundary Element Method Based on Burton-Miller Formulation for 3D Acoustic Problems

open access: yesArchives of Acoustics, 2019
An isogeometric boundary element method is applied to simulate wave scattering problems governed by the Helmholtz equation. The NURBS (non-uniform rational B-splines) widely used in the CAD (computer aided design) field is applied to represent the ...
Leilei CHEN   +4 more
doaj   +1 more source

A fast direct solver for surface-based whole-head modeling of transcranial magnetic stimulation

open access: yesScientific Reports, 2023
When modeling transcranial magnetic stimulation (TMS) in the brain, a fast and accurate electric field solver can support interactive neuronavigation tasks as well as comprehensive biophysical modeling. We formulate, test, and disseminate a direct (i.e.,
S. N. Makaroff   +9 more
doaj   +1 more source

Efficient Compression of Far Field Matrices in Multipole Algorithms based on Spherical Harmonics and Radiating Modes

open access: yesAdvanced Electromagnetics, 2012
This paper proposes a compression of far field matrices in the fast multipole method and its multilevel extension for electromagnetic problems. The compression is based on a spherical harmonic representation of radiation patterns in conjunction with a ...
A. Schroeder, H.-D. Bruens, C. Schuster
doaj   +1 more source

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