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Relevant bibliographies by topics / FFT solveurs

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Journal articles

Academic literature on the topic 'FFT solveurs'

Author: Grafiati

Published: 23 February 2024

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Journal articles on the topic "FFT solveurs"

1

Fortunato, Daniel, and Alex Townsend. "Fast Poisson solvers for spectral methods." IMA Journal of Numerical Analysis 40, no. 3 (2019): 1994–2018. http://dx.doi.org/10.1093/imanum/drz034.

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Abstract Poisson’s equation is the canonical elliptic partial differential equation. While there exist fast Poisson solvers for finite difference (FD) and finite element methods, fast Poisson solvers for spectral methods have remained elusive. Here we derive spectral methods for solving Poisson’s equation on a square, cylinder, solid sphere and cube that have optimal complexity (up to polylogarithmic terms) in terms of the degrees of freedom used to represent the solution. Whereas FFT-based fast Poisson solvers exploit structured eigenvectors of FD matrices, our solver exploits a separated spe

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2

Hosseinzadegan, Samar, Andreas Fhager, Mikael Persson, and Paul Meaney. "A Discrete Dipole Approximation Solver Based on the COCG-FFT Algorithm and Its Application to Microwave Breast Imaging." International Journal of Antennas and Propagation 2019 (July 17, 2019): 1–12. http://dx.doi.org/10.1155/2019/9014969.

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We introduce the discrete dipole approximation (DDA) for efficiently calculating the two-dimensional electric field distribution for our microwave tomographic breast imaging system. For iterative inverse problems such as microwave tomography, the forward field computation is the time limiting step. In this paper, the two-dimensional algorithm is derived and formulated such that the iterative conjugate orthogonal conjugate gradient (COCG) method can be used for efficiently solving the forward problem. We have also optimized the matrix-vector multiplication step by formulating the problem such t

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3

Morin, Léo, Renald Brenner, Katell Derrien, and Khaoula Dorhmi. "Periodic smoothing splines for FFT-based solvers." Computer Methods in Applied Mechanics and Engineering 373 (January 2021): 113549. http://dx.doi.org/10.1016/j.cma.2020.113549.

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4

Fang, Jiannong. "A Fast Hybrid Pressure-Correction Algorithm for Simulating Incompressible Flows by Projection Methods." Algorithms 16, no. 6 (2023): 287. http://dx.doi.org/10.3390/a16060287.

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To enforce the conservation of mass principle, a pressure Poisson equation arises in the numerical solution of incompressible fluid flow using the pressure-based segregated algorithms such as projection methods. For unsteady flows, the pressure Poisson equation is solved at each time step usually in physical space using iterative solvers, and the resulting pressure gradient is then applied to make the velocity field divergence-free. It is generally accepted that this pressure-correction stage is the most time-consuming part of the flow solver and any meaningful acceleration would contribute si

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5

de Geus, T. W. J., J. Vondřejc, J. Zeman, R. H. J. Peerlings, and M. G. D. Geers. "Finite strain FFT-based non-linear solvers made simple." Computer Methods in Applied Mechanics and Engineering 318 (May 2017): 412–30. http://dx.doi.org/10.1016/j.cma.2016.12.032.

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6

LAURITSCH, G., and P. G. REINHARD. "AN FFT SOLVER FOR THE COULOMB PROBLEM." International Journal of Modern Physics C 05, no. 01 (1994): 65–75. http://dx.doi.org/10.1142/s0129183194000064.

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A solution of the Coulomb problem in Fourier representation is given. The problems with the long-range parts of the Coulomb potential are circumvented by a separate handling of them. This allows the Fourier representation to develop its typical efficiency and robusteness.

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7

Sharma, L., R. H. J. Peerlings, M. G. D. Geers, and F. Roters. "Integral nonlocal approach to model interface decohesion in FFT solvers." Engineering Fracture Mechanics 243 (February 2021): 107516. http://dx.doi.org/10.1016/j.engfracmech.2020.107516.

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8

Heymann, Dieter, and Franco Cataldo. "UNSTABLE PRODUCTS FROM THE OZONATION OF C60IN SOLVENTS." Fullerene Science and Technology 9, no. 1 (2001): 71–76. http://dx.doi.org/10.1081/fst-100000166.

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9

Murthy, C. N., and K. E. Geckeler. "SOLUBILITY CORRELATION OF [60]FULLERENE IN DIFFERENT SOLVENTS." Fullerene Science and Technology 9, no. 4 (2001): 477–86. http://dx.doi.org/10.1081/fst-100107150.

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10

Nath, S., H. Pal, A. V. Sapre, et al. "Aggregation of Endometallofullerene Y@C82 in Polar Solvents." Fullerenes, Nanotubes and Carbon Nanostructures 12, no. 1-2 (2005): 53–57. http://dx.doi.org/10.1081/fst-120027133.

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