A regularization method for solving the Poisson equation for mixed unbounded-periodic domains

DOI10.1016/j.jcp.2017.12.018zbMath1380.65411OpenAlexW2774860416MaRDI QIDQ1701083

Mads Mølholm Hejlesen, Henrik Juul Spietz, Jens Honoré Walther

Publication date: 22 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://orbit.dtu.dk/en/publications/fdc88e0f-e69d-4c7c-8399-f781538ac3e4

zbMATH Keywords

mixed boundary conditionsPoisson equationregularization methodsGreen's function solutionunbounded and periodic domainsvortex particle mesh methods

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (3)

Lattice Green’s Functions for High-Order Finite Difference Stencils ⋮ Non-singular Green's functions for the unbounded Poisson equation in one, two and three dimensions ⋮ FLUPS: A Fourier-Based Library of Unbounded Poisson Solvers

Uses Software

• pvfmm
• Poissonsolver

Cites Work

• Unnamed Item
• A high order solver for the unbounded Poisson equation
• Spectral accuracy in fast Ewald-based methods for particle simulations
• A free-space adaptive FMM-based PDE solver in three dimensions
• Fast ewald summation based on NFFT with mixed periodicity
• Billion vortex particle direct numerical simulations of aircraft wakes
• On the accuracy of vortex methods
• Extrapolating B splines for interpolation
• High order accurate vortex methods with explicit velocity kernels
• Vortex methods for flow simulation
• Contributions to vortex particle methods for the computation of three- dimensional incompressible unsteady flows
• Iterative Brinkman penalization for simulation of impulsively started flow past a sphere and a circular disc
• 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
• FFT, FMM, or Multigrid? A comparative Study of State-Of-the-Art Poisson Solvers for Uniform and Nonuniform Grids in the Unit Cube
• A Fast Adaptive Multipole Algorithm for Particle Simulations
• The formation of vortices from a surface of discontinuity
• Convergence of Vortex Methods for Euler’s Equations, III
• PVFMM: A Parallel Kernel Independent FMM for Particle and Volume Potentials
• A fast algorithm for particle simulations
• The Ewald sums for singly, doubly and triply periodic electrostatic systems

This page was built for publication: A regularization method for solving the Poisson equation for mixed unbounded-periodic domains