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math.NA2011★ 2 cited
On the efficient representation of the half-space impedance Green's function for the Helmholtz equation
Michael O'Neil, Leslie Greengard, Andras Pataki
A classical problem in acoustic (and electromagnetic) scattering concerns the evaluation of the Green's function for the Helmholtz equation subject to impedance boundary conditions…
math.NA2011
Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations, II
Charles L. Epstein, Leslie Greengard, Michael O'Neil
In this paper, we develop a new integral representation for the solution of the time harmonic Maxwell equations in media with piecewise constant dielectric permittivity and magneti…