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Numerical resolution of the wave equation on a network of slots

Adrien Semin 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : In this technical report, we present a theoretical and numerical model to simulate wave propagation in finite networks of rods with both classical Kirchhoff conditions and Improved Kirchhoff conditions at the nodes of the networks. One starts with the continuous framework, then we discretize the problem using finite elements with the mass lumping technic introduced by G.~Cohen and P.~Joly. Finally, we show an implementation of the obtained numeric scheme in a homemade code written in C++ in collaboration with K.~Boxberger, some results and some error estimates.
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https://hal.inria.fr/inria-00411825
Contributor : Adrien Semin <>
Submitted on : Saturday, August 29, 2009 - 8:31:42 PM
Last modification on : Thursday, January 14, 2021 - 11:56:03 AM
Long-term archiving on: : Tuesday, June 15, 2010 - 10:55:55 PM

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  • HAL Id : inria-00411825, version 1

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Adrien Semin. Numerical resolution of the wave equation on a network of slots. [Technical Report] RT-369, INRIA. 2009, pp.35. ⟨inria-00411825⟩

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