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

Rieder, Alexander; Sayas, Francisco–Javier; Melenk, Jens

doi:10.1090/mcom/3730

Time domain boundary integral equations and convolution quadrature for scattering by composite media
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by Alexander Rieder, Francisco–Javier Sayas and Jens Markus Melenk;

Math. Comp. 91 (2022), 2165-2195

DOI: https://doi.org/10.1090/mcom/3730

Published electronically: June 7, 2022

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