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X-WR-CALNAME:EuroNoise 2015 Development of the partition of unity finite element method for the 3D analysis of interior sound fields
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SUMMARY:EuroNoise 2015 Development of the partition of unity finite element method for the 3D analysis of interior sound fields
DTSTART;TZID=Europe/Paris:20150602T144000
DTSTAMP:20150602T144000Z
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DESCRIPTION: Mingming Yang --- This work is concerned with the numerical simulation of sound pressure field in three-\ndimensional cavities in which absorbing materials are present. Standard techniques \nsuch as the Finite Element Method (FEM) are known to be extremely demanding \ncomputationally when the frequency increases and thus limited to low frequency \napplications. To alleviate these difficulties, an alternative formulation based on the \nPartition of Unity Finite Element Method (PUFEM) is proposed. The method involves \nenriching the approximation finite element space by expanding the acoustic pressure in \na set of plane waves propagating in various directions over the unit sphere. \nParticular attention is devoted to the fast and accurate computation of highly \noscillating integrals which is required by the method. Convergence studies show that \nthese wave finite elements allow to capture accurately the wave field with a number of \ndegrees of freedom that only grows quadratically with the frequency yielding drastic \ndata reduction compared to classical FEM. Results of practical interest are shown for \nthe case of a sound source placed in a reverberation room with absorbing materials on \nthe wall.\n
LOCATION:0.7 Lisbon (47)
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