… state-of-the-art algorithms and implementations, three from our group and two from different
groups. The first solver is parallel FFT … The second solver is the ML algebraic multigrid solver …

… In this paper we benchmark four state-of-the-art algorithms … : The first solver is a 2D-decomposed
parallel FFT using the … The second solver is the ML algebraic multigrid solver which …

… a simple version of the multigrid approach that is adequate for the Poisson problem. … ,
state-of-the-art massively parallel implementations were used in the case of the FFT, ISF, and FMM …

… methods are widely used fast and highly scalable solvers for … Thus, solving the Poisson
equation using Fourier transform … Another state-of-the-art FMM implementation is exaFMM [28] …

… While the multigrid methods present the lowest intensity, the FMM-… in an FFT-based Poisson
solver was never exposed. … FLUPS is thus intended as an open-source, state-of-the-art, and …

… Comparison of the FFT-based Poisson solver with other prevalent methods such as Geometric
Multigrid (GMG) and Fast Multipole Method (FMM) is … The state-of-the-art GPU architecture …

… (79) For this reason, we recommend that DL_MG is made available alongside established
FFT-based Poisson solvers in electronic structure codes. Under the specific circumstances …

… Whereas FFT-based fast Poisson solvers exploit structured eigenvectors of FD matrices, our
… as ones based on (i) cyclic reduction, (ii) multigrid, (iii) the fast multipole method and (iv) the …

… In uniform Cartesian grids with periodic boundary conditions the Fast Fourier Transform (FFT) …
] compares state-of-the-art Poisson solvers. Geometric multigrid Poisson solvers yield very …

… We demonstrate that, beyond its traditional use as a solver in … compare FFT, FMM, and
multigrid methods for the Poisson … time-to-solution with state-of-the-art multigrid methods such as …