The Costabel-Stephan system of Boundary Integral Equations in the Time Domain
Numerical Analysis
2014-08-13 v1
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.
Keywords
Cite
@article{arxiv.1408.2727,
title = {The Costabel-Stephan system of Boundary Integral Equations in the Time Domain},
author = {Tianyu Qiu and Francisco-Javier Sayas},
journal= {arXiv preprint arXiv:1408.2727},
year = {2014}
}