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RESEARCH PRODUCT

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

Teemu LukkariJarmo Malinen

subject

Wave propagationWave propagationApplied MathematicsMathematical analysista111Tubular domainDynamical Systems (math.DS)Acoustic waveWave equationPrimary 37L05. Secondary 35L05 35L20 47N70 93C20A posteriori error analysisMathematics - Analysis of PDEsApproximation errorFOS: MathematicsCalculusA priori and a posterioriWebster's modelMathematics - Dynamical SystemsAnalysisAnalysis of PDEs (math.AP)MathematicsVariable (mathematics)

description

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. peerReviewed

yearjournalcountryeditionlanguage
2015-01-01
http://arxiv.org/abs/1405.7251