Results 11 to 20 of about 1,795 (184)
Periodic Fast Multipole Method
CoRR, 2021 A new scheme is presented for imposing periodic boundary conditions on unit cells with arbitrary source distributions. We restrict our attention here to the Poisson, modified Helmholtz, Stokes and modified Stokes equations. The approach extends to the oscillatory equations of mathematical physics, including the Helmholtz and Maxwell equations, but we ...
Ruqi Pei +3 more
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A Parallel Directional Fast Multipole Method [PDF]
SIAM Journal on Scientific Computing, 2014 This paper introduces a parallel directional fast multipole method (FMM) for solving N-body problems with highly oscillatory kernels, with a focus on the Helmholtz kernel in three dimensions. This class of oscillatory kernels requires a more restrictive low-rank criterion than that of the low-frequency regime, and thus effective parallelizations must ...
Austin R. Benson +4 more
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The Inverse Fast Multipole Method
CoRR, 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
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Fast multipole methods for particle dynamics [PDF]
Molecular 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
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The 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
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IEEE 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
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Archives 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
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Acoustics, 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
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A fast direct solver for surface-based whole-head modeling of transcranial magnetic stimulation
Scientific 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
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Advanced 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
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