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math.NA2013
Evaluation of layer potentials close to the boundary for Laplace and Helmholtz problems on analytic planar domains
Alex H. Barnett
Boundary integral equations are an efficient and accurate tool for the numerical solution of elliptic boundary value problems. The solution is expressed as a layer potential; howev…
math.NA2013★ 1 cited
A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media
Adrianna Gillman, Alex Barnett, Per-Gunnar Martinsson
This paper presents a direct solution technique for the scattering of time-harmonic waves from a bounded region of the plane in which the wavenumber varies smoothly in space.The me…