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

作者：Lukkari Teemu; Malinen Jarmo^*

来源：Journal of Mathematical Analysis and Applications, 2015, 427(2): 941-961.

DOI：10.1016/j.jmaa.2015.02.074

• Wave propagation
• Tubular domain
• Webster's model
• A posteriori error analysis

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.

• 出版日期2015-7-15