213 citations · 1.1k across the 67 of their papers we have counts for
8 papers · 1 filter
Inverse Obstacle scattering in two dimensions with multiple frequency data and multiple angles of incidence
Carlos Borges, Leslie Greengard
We consider the problem of reconstructing the shape of an impenetrable sound-soft obstacle from scattering measurements. The input data is assumed to be the far-field pattern gener…
A fast solver for multi-particle scattering in a layered medium
Jun Lai, Motoki Kobayashi, Leslie Greengard
In this paper, we consider acoustic or electromagnetic scattering in two dimensions from an infinite three-layer medium with thousands of wavelength-size dielectric particles embed…
A fast direct solver for high frequency scattering from a large cavity in two dimensions
Jun Lai, Sivaram Ambikasaran, Leslie F. Greengard
We present a fast direct solver for the simulation of electromagnetic scattering from an arbitrarily-shaped, large, empty cavity embedded in an infinite perfectly conducting half s…
The Decoupled Potential Integral Equation for Time-Harmonic Electromagnetic Scattering
Felipe Vico, Leslie Greengard, Miguel Ferrando +1
We present a new formulation for the problem of electromagnetic scattering from perfect electric conductors. While our representation for the electric and magnetic fields is based…
A fast multipole method for the evaluation of elastostatic fields in a half-space with zero normal stress
Zydrunas Gimbutas, Leslie Greengard
In this paper, we present a fast multipole method (FMM) for the half-space Green's function in a homogeneous elastic half-space subject to zero normal stress, for which an explicit…
Visualizing Skin Effects in Conductors with MRI: Li MRI Experiments and Calculations
Andrew J. Ilott, S. Chandrashekar, Andreas Klöckner +5
While experiments on metals have been performed since the early days of NMR (and DNP), the use of bulk metal is normally avoided. Instead, often powders have been used in combinati…
Fast Direct Methods for Gaussian Processes
Sivaram Ambikasaran, Daniel Foreman-Mackey, Leslie Greengard +2
A number of problems in probability and statistics can be addressed using the multivariate normal (Gaussian) distribution. In the one-dimensional case, computing the probability fo…
Randomized methods for rank-deficient linear systems
Josef Sifuentes, Zydrunas Gimbutas, Leslie Greengard
We present a simple, accurate method for solving consistent, rank-deficient linear systems, with or without addi- tional rank-completing constraints. Such problems arise in a varie…