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

2014/05/28 by Teemu Lukkari, Lukkari, Teemu, Jarmo Malinen +1
Computer Science · Engineering · Mathematics · #35L20 #47N70 #93C20 #Acoustic Wave Phenomena Research #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Primary 37L05. Secondary 35L05 #Speech and Audio Processing #Ultrasonics and Acoustic Wave Propagation #math.AP #math.DS #msc:35L05 #msc:35L20 #msc:37L05. #msc:47N70 #msc:93C20

paper · pdf · doi:10.48550/arxiv.1405.7251

arxiv created 2014/05/28 · openalex publication_date 2014/05/28 · arxiv updated 2014/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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