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arXiv · 2010.14162

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

Alexander Rieder·Francisco-Javier Sayas·Jens Markus Melenk
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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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Alexander Rieder, Francisco-Javier Sayas, Jens Markus Melenk. 2022-02-18. Time domain boundary integral equations and convolution quadrature for scattering by composite media (extended preprint). https://doi.org/10.1090/mcom%2F3730

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