192 citations · 228 across the 8 of their papers we have counts for
9 papers
Preconditioning for near-contacts in large 2D Stokes flows: a locally compressed method of fundamental solutions
Anna Broms, Anna-Karin Tornberg, Alex H. Barnett
We tackle two key difficulties in the simulation of the viscous hydrodynamics of a large dense collection of rigid particles: (i) the poor convergence rate of an iterative solution…
A spectral method for the rapid evaluation of hyperbolic potentials in two dimensions using windowed Fourier projection
Nour G. Al Hassanieh, Leslie Greengard, Alex H. Barnett
We present a fast algorithm for evaluating the (non-smooth) solution of the free-space two-dimensional (2D) scalar wave equation with many point sources, each with a high-frequency…
Truncated kernel windowed Fourier projection: a fast algorithm for the 3D free-space wave equation
Nour G. Al Hassanieh, Alex H. Barnett, Leslie Greengard
We present a spectrally accurate fast algorithm for evaluating the solution to the scalar wave equation in free space driven by a large collection of point sources in a bounded dom…
A fast algorithm for the wave equation using time-windowed Fourier projection
Nour G. Al Hassanieh, Alex H. Barnett, Leslie Greengard
We introduce a new arbitrarily high-order method for the rapid evaluation of hyperbolic potentials (space-time integrals involving the Green's function for the scalar wave equation…
Accelerating Molecular Dynamics Simulations using Fast Ewald Summation with Prolates
Jiuyang Liang, Libin Lu, Alex Barnett +2
The evaluation of long-range Coulomb interactions is a significant cost in molecular dynamics (MD), even when using Particle Mesh Ewald (PME) or Particle-Particle-Particle-Mesh (PP…
High-order boundary integral equation solution of high frequency wave scattering from obstacles in an unbounded linearly stratified medium
Alex. H. Barnett, Bradley J. Nelson, J. Matthew Mahoney
We apply boundary integral equations for the first time to the two-dimensional scattering of time-harmonic waves from a smooth obstacle embedded in a continuously-graded unbounded…
High-order accurate Nystrom discretization of integral equations with weakly singular kernels on smooth curves in the plane
S. Hao, A. H. Barnett, P. G. Martinsson +1
Boundary integral equations and Nystrom discretization provide a powerful tool for the solution of Laplace and Helmholtz boundary value problems. However, often a weakly-singular k…
Estimates on Neumann eigenfunctions at the boundary, and the "Method of Particular Solutions" for computing them
A. H. Barnett, Andrew Hassell
We consider the "Method of particular solutions" for numerically computing eigenvalues and eigenfunctions of the Laplacian on a smooth, bounded domain Omega in RR^n with either…
Stability and convergence of the Method of Fundamental Solutions for Helmholtz problems on analytic domains
A. H. Barnett, T. Betcke
The Method of Fundamental Solutions (MFS) is a popular tool to solve Laplace and Helmholtz boundary value problems. Its main drawback is that it often leads to ill-conditioned syst…