Time domain boundary integral equations and convolution quadrature for scattering by composite media

10/27/2020

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by   Alexander Rieder, et al.

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