The Costabel-Stephan system of boundary integral equations in the time domain

Qiu, Tianyu; Sayas, Francisco-Javier

doi:10.1090/mcom3053

The Costabel-Stephan system of boundary integral equations in the time domain
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by Tianyu Qiu and Francisco-Javier Sayas;

Math. Comp. 85 (2016), 2341-2364

DOI: https://doi.org/10.1090/mcom3053

Published electronically: November 18, 2015

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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 (CQ) in time. All proofs are developed using recent techniques based on the theory of evolution equations. Some numerical experiments are provided.

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