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.
https://hal.inria.fr/hal-01416241
Contributor : Elvira Shishenina
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Submitted on : Wednesday, December 14, 2016 - 11:16:24 AM
Last modification on : Friday, June 7, 2019 - 3:16:15 PM
Long-term archiving on : Wednesday, March 15, 2017 - 12:52:31 PM
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⟩
