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For a nonlocally perturbed half-space we consider the scattering of time-harmonic acoustic waves. A second kind boundary integral equation formulation is proposed for the sound-soft case, based on a standard ansatz as a combined single-and double-layer potential but replacing the usual fundamental solution of the Helmholtz equation with an appropriate… (More)

We consider the problem of scattering of time-harmonic acoustic waves by an unbounded sound-soft rough surface. Recently, a Brakhage–Werner type integral equation formulation of this problem has been proposed, based on an ansatz as a combined single-and double-layer potential, but replacing the usual fundamental solution of the Helmholtz equation with an… (More)

We consider the problem of scattering of time-harmonic acoustic waves by an unbounded sound-soft rough surface. Although integral equation methods are widely used for the numerical solution of such problems, to date there is no formulation which is known to be uniquely solvable in the 3D case. We consider a novel Brakhage-Werner type integral equation… (More)

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