Trefftz-DG Approximation for the Elasto-Acoustics

Abstract : Discontinuous finite element methods have proven their numerical accuracy and flexibility, but they are still criticised for high number of degrees of freedom used for computation. The Trefftz approach provides a way to overcome these difficulties. The particularity of Trefftz-type methods is in special choice of basis functions: they represent the local solutions of the initial equations. Thus in case of time-dependent problems it requires a space-time mesh. The approach has been widely used with time-harmonic formulations, while for reproducing a temporal phenomena the studies are very limited. In the present work we develop the theory for the method application in case of coupled acousto-elastic systems. We show the results of numerical tests for the first-order acoustic wave propagation system.
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Submitted on : Wednesday, December 14, 2016 - 11:16:24 AM
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  • HAL Id : hal-01416241, version 1


Hélène Barucq, Henri Calandra, Julien Diaz, Elvira Shishenina. Trefftz-DG Approximation for the Elasto-Acoustics. Workshop de DIP, l’action stratégique INRIA TOTAL , Oct 2016, Houston, United States. ⟨hal-01416241⟩



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