@Article{JCM-36-1,
author = {Heiko, Gimperlein and Özdemir, Ceyhun and Stephan, P., Ernst},
title = {Time Domain Boundary Element Methods for the Neumann Problem: Error Estimates and Acoustic Problems},
journal = {Journal of Computational Mathematics},
year = {2018},
volume = {36},
number = {1},
pages = {70--89},
abstract = {<p style="text-align: justify;">We investigate time domain boundary element methods for the wave equation in $\mathbb{R}^3$, with a view towards sound emission problems in computational acoustics. The Neumann problem is reduced to a time dependent integral equation for the hypersingular operator, and we present a priori and a posteriori error estimates for conforming Galerkin approximations in the more general case of a screen. Numerical experiments validate the convergence of our boundary element scheme and compare it with the numerical approximations obtained from an integral equation of the second kind. Computations in a half-space illustrate the influence of the reflection properties of a flat street.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1610-m2016-0494},
url = {https://global-sci.com/article/84458/time-domain-boundary-element-methods-for-the-neumann-problem-error-estimates-and-acoustic-problems}
}