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

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.

References in corpus (6)

• Boundary elements with mesh refinements for the wave equation
• A fully discrete BEM-FEM scheme for transient acoustic waves
• A new and improved analysis of the time domain boundary integral operators for acoustics
• Runge-Kutta convolution quadrature and FEM-BEM coupling for the time dependent linear Schrödinger equation
• Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid
• On superconvergence of Runge-Kutta convolution quadrature for the wave equation

Cited by in corpus (3)

• Runge-Kutta approximation for $C_0$-semigroups in the graph norm with applications to time domain boundary integral equations
• On superconvergence of Runge-Kutta convolution quadrature for the wave equation
• A boundary integral equation formulation for transient electromagnetic transmission problems on Lipschitz domains