2014/08/12 by Qiu, Tianyu, Sayas, Francisco-Javier
#FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1408.2727
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.