Fully discrete Kirchhoff formulas with CQ-BEM

In this paper, we propose and analyse a fully discrete method for a direct boundary integral formulation of the scattering of a transient acoustic wave by a sound-soft obstacle. The method uses the Galerkin Boundary Element Method in the space variables and three different choices of time-stepping strategies based on convolution quadrature. The numerical analysis of the method is carried out directly in the time domain, not reverting to Laplace transform techniques.