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We consider acoustic scattering in heterogeneous media with piecewiseconstant wave number. The discretization is carried out using a Galerkinboundary element method in space and Runge-Kutta convolution quadrature intime. We prove well-posedness of the scheme and provide a priori estimates forthe convergence in space and time.

Time domain boundary integral equations and convolution quadrature for scattering by composite media (extended preprint)