FLUPS: A Fourier-Based Library of Unbounded Poisson Solvers
From MaRDI portal
Publication:5857831
DOI10.1137/19M1303848zbMath1464.35063arXiv2006.09300MaRDI QIDQ5857831
Denis-Gabriel Caprace, Philippe Chatelain, T. Gillis
Publication date: 8 April 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.09300
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) General topics in the theory of software (68N01) Green's functions for elliptic equations (35J08)
Related Items (6)
An immersed interface method for the 2D vorticity-velocity Navier-Stokes equations with multiple bodies ⋮ Lattice Green’s Functions for High-Order Finite Difference Stencils ⋮ A comparison of semi-Lagrangian vortex method and lattice Boltzmann method for incompressible flows ⋮ A Poisson equation-based method for 3D reconstruction of animated images ⋮ FLUPS ⋮ A weak coupling between a near-wall Eulerian solver and a vortex particle-mesh method for the efficient simulation of 2D external flows
Uses Software
Cites Work
- Unnamed Item
- A high order solver for the unbounded Poisson equation
- A parallel fast multipole method for elliptic difference equations
- Fast and accurate numerical methods for solving elliptic difference equations defined on lattices
- PoisFFT -- a free parallel fast Poisson solver
- Fast immersed interface Poisson solver for 3D unbounded problems around arbitrary geometries
- A regularization method for solving the Poisson equation for mixed unbounded-periodic domains
- Non-singular Green's functions for the unbounded Poisson equation in one, two and three dimensions
- A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for space-charge simulations
- A fast multi-resolution lattice Green's function method for elliptic difference equations
- A FFT-based finite-difference solver for massively-parallel direct numerical simulations of turbulent flows
- A fast solver for Poisson problems on infinite regular lattices
- A Fourier-based elliptic solver for vortical flows with periodic and unbounded directions
- High order expanding domain methods for the solution of Poisson's equation in infinite domains
- Fast convolution with free-space Green's functions
- Isotropic compact interpolation schemes for particle methods
- FFT, FMM, or Multigrid? A comparative Study of State-Of-the-Art Poisson Solvers for Uniform and Nonuniform Grids in the Unit Cube
- PFFT: An Extension of FFTW to Massively Parallel Architectures
- P3DFFT: A Framework for Parallel Computations of Fourier Transforms in Three Dimensions
- Adaptive Matrix Transpose Algorithms for Distributed Multicore Processors
- The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions
- Asymptotic expansions of lattice Green's functions
- A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
- A fast algorithm for particle simulations
This page was built for publication: FLUPS: A Fourier-Based Library of Unbounded Poisson Solvers
