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

Published 27 Oct 2020 in math.NA and cs.NA | (2010.14162v2)

Abstract: 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.

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