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Robust high order non-conforming finite element formulation for time domain fluid-structure interaction

Julien Diaz 1 Patrick Joly 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
Abstract : In this paper we present various numerical methods for solving time-dependent fluid-structure interaction problem in two or three dimensions that we claim to be efficient, robust and highly accurate. These methods, based on mixed variational formulations, are explicit and conservative and can be of arbitrary high order in space. Their accuracy will be illustrated via a comparison with analytical solutions in simple configuration.
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https://hal.inria.fr/inria-00409201
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Julien Diaz, Patrick Joly. Robust high order non-conforming finite element formulation for time domain fluid-structure interaction. Journal of Computational Acoustics, World Scientific Publishing, 2005, 13 (3), pp.403-431. ⟨10.1142/S0218396X05002736⟩. ⟨inria-00409201⟩

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