213 citations · 1.1k across the 67 of their papers we have counts for
4 papers · 2 filters
A new hybrid integral representation for frequency domain scattering in layered media
Jun Lai, Leslie Greengard, Michael O'Neil
A variety of problems in acoustic and electromagnetic scattering require the evaluation of impedance or layered media Green's functions. Given a point source located in an unbounde…
Integral equation methods for elastance and mobility problems in two dimensions
Manas Rachh, Leslie Greengard
We present new integral representations in two dimensions for the elastance problem in electrostatics and the mobility problem in Stokes flow. These representations lead to resonan…
Fast, adaptive, high order accurate discretization of the Lippmann-Schwinger equation in two dimension
Sivaram Ambikasaran, Carlos Borges, Lise-Marie Imbert-Gerard +1
We present a fast direct solver for two dimensional scattering problems, where an incident wave impinges on a penetrable medium with compact support. We represent the scattered fie…
On the stability of time-domain integral equations for acoustic wave propagation
Charles L. Epstein, Leslie Greengard, Thomas Hagstrom
We give a principled approach for the selection of a boundary integral, retarded potential representation for the solution of scattering problems for the wave equation in an exteri…