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arxiv: 1405.7251 · v1 · pith:G4DJRIK2new · submitted 2014-05-28 · 🧮 math.AP · math.DS

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

classification 🧮 math.AP math.DS
keywords waveequationwebstererrorgeneralisedposterioripropagationacoustic
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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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