Time domain boundary element methods for the Neumann problem: Error estimates and acoustic problems

Heiko Gimperlein, Ceyhun Oezdemir, Ernst P. Stephan

Research output: Contribution to journalArticle

10 Citations (Scopus)
46 Downloads (Pure)

Abstract

We investigate time domain boundary element methods for the wave equation in R3,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 convergenc of our boundary element scheme and compare it with the numerical approximations obtainefrom an integral equation of the second kind. Computations in a half-space illustratthe influence of the reflection properties of a flat street.
Original languageEnglish
Pages (from-to)70-89
Number of pages20
JournalJournal of Computational Mathematics
Volume36
Issue number1
Early online date1 Feb 2018
DOIs
Publication statusPublished - Feb 2018

Fingerprint Dive into the research topics of 'Time domain boundary element methods for the Neumann problem: Error estimates and acoustic problems'. Together they form a unique fingerprint.

  • Cite this