Rieder, A., Sayas, F.-J., & Melenk, J. M. (2022). Time domain boundary integral equations and convolution quadrature for scattering by composite media. Mathematics of Computation, 91(337), 2165–2195. https://doi.org/10.1090/mcom/3730
integral equations; convolution quadrature; scattering
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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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Project title:
Doktoratskolleg "Dissipation and Dispersion in Nonlinear Partial Differential Equations": W1245-N25 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF)) Analysis der H-Matrix-Inversion: P 28367-N35 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF)) Numerische Methoden Höherer Ordnung für nichtlokale Operatoren: F 6507-N36 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF))
