Special Session 35: Direct and inverse problems in wave propagation
Contents
In this talk we present some new results on an integral formulation for transmission problems related to the transient linear wave equation. The resulting system of equations is based on a direct formulation and mimics in the time-domain what the Costabel-Stephan system did in the frequency domain. Using techniques based on evolution equations we show well-posedness of the problem after Galerkin semidiscretization in space and estimates on the error for Galerkin semidiscretization. Finally we show the effect of full discretization and some numerical experiments for smooth and non-smooth scatterers in two dimensions.