The Costabel-Stephan system of Boundary Integral Equations in the Time Domain

Abstract

In this paper we formulate a transmission problem for the transient acoustic wave equation as a system of retarded boundary integral equations. We then analyse a fully discrete method using a general Galerkin semidiscretization-in-space and Convolution Quadrature in time. All proofs are developed using recent techniques based on the theory of evolution equations. Some numerical experiments are provided.

References in corpus (2)

• Stable numerical coupling of exterior and interior problems for the wave equation
• Regularized combined field integral equations for acoustic transmission problems

Cited by in corpus (1)

• New mapping properties of the Time Domain Electric Field Integral Equation