Fully discrete Kirchhoff formulas with CQ-BEM
Lehel Banjai, Antonio Laliena, Francisco-Javier Sayas
TL;DR
This paper introduces a fully discrete boundary element method for transient acoustic wave scattering, combining Galerkin-BEM with convolution quadrature for time discretization, analyzed directly in the time domain.
Contribution
It presents a novel fully discrete scheme using Galerkin-BEM and convolution quadrature, with direct time domain analysis for acoustic scattering problems.
Findings
Method achieves stable and accurate numerical solutions.
Three different time-stepping strategies are analyzed.
Numerical experiments confirm theoretical results.
Abstract
In this paper we propose and analyze a fully discrete method for a direct boundary integral formulation of the scattering of a transient acoustic wave by a sound-soft obstacle. The method uses Galerkin-BEM in the space variables and three different choices of time-stepping strategies based on Convolution Quadrature. The numerical analysis of the method is carried out directly in the time domain, not reverting to Laplace transform techniques.
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