A fast method for imposing periodic boundary conditions on arbitrarily-shaped lattices in two dimensions
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Publication:2112487
DOI10.1016/j.jcp.2022.111792OpenAlexW4309765521MaRDI QIDQ2112487
Shidong Jiang, Ruqi Pei, Travis Askham, Leslie F. Greengard
Publication date: 11 January 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111792
periodic boundary conditionsfast multipole methodnonuniform fast Fourier transformlow rank factorizationarbitrarily-shaped latticesplane wave representation
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Uses Software
Cites Work
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- Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects
- A new integral representation for quasi-periodic scattering problems in two dimensions
- A kernel-independent adaptive fast multipole algorithm in two and three dimensions
- A periodic FMM for Maxwell's equations in 3D and its applications to problems related to photonic crystals
- Fast Fourier transforms for nonequispaced data. II
- Flexibly imposing periodicity in kernel independent FMM: a multipole-to-local operator approach
- The type 3 nonuniform FFT and its applications
- A fast adaptive multipole algorithm in three dimensions
- An integral equation method for the simulation of doubly-periodic suspensions of rigid bodies in a shearing viscous flow
- Fast multi-particle scattering: a hybrid solver for the Maxwell equations in microstructured materials
- An adaptive fast solver for the modified Helmholtz equation in two dimensions
- A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations
- Lattice sums for gratings and arrays
- Lattice sums and the two-dimensional, periodic Green's function for the Helmholtz equation
- Sums of spherical waves for lattices, layers, and lines
- A Hybrid Method for Systems of Closely Spaced Dielectric Spheres and Ions
- A fast summation method for oscillatory lattice sums
- A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
- Lattice Sums for the Helmholtz Equation
- Spectral Methods for Time-Dependent Problems
- An Improved Fast Multipole Algorithm for Potential Fields
- Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators
- Fast Fourier Transforms for Nonequispaced Data
- A renormalization method for the evaluation of lattice sums
- Integral representations of harmonic lattice sums
- Accelerating the Nonuniform Fast Fourier Transform
- Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions
- A Unified Integral Equation Scheme for Doubly Periodic Laplace and Stokes Boundary Value Problems in Two Dimensions
- A Parallel Nonuniform Fast Fourier Transform Library Based on an “Exponential of Semicircle" Kernel
- PVFMM: A Parallel Kernel Independent FMM for Particle and Volume Potentials
- On the convergence rates of Legendre approximation
- Is Gauss Quadrature Better than Clenshaw–Curtis?
- Quasi-periodic Green's functions of the Helmholtz and Laplace equations
- A fast algorithm for particle simulations