English

A posteriori error estimates for Webster's equation in wave propagation

Analysis of PDEs 2014-05-29 v1 Dynamical Systems

Abstract

We consider a generalised Webster's equation for describing wave propagation in curved tubular structures such as variable diameter acoustic wave guides. Webster's equation in generalised form has been rigorously derived in a previous article starting from the wave equation, and it approximates cross-sectional averages of the propagating wave. Here, the approximation error is estimated by an a posteriori technique.

Keywords

Cite

@article{arxiv.1405.7251,
  title  = {A posteriori error estimates for Webster's equation in wave propagation},
  author = {Teemu Lukkari and Jarmo Malinen},
  journal= {arXiv preprint arXiv:1405.7251},
  year   = {2014}
}
R2 v1 2026-06-22T04:25:11.424Z