Effective Transmission Conditions for Thin-Layer Transmission Problems in Elastodynamics

Marc Bonnet 1 Aliénor Burel 1, 2 Patrick Joly 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 : This research is motivated by the numerical modelling of ultrasonic non-destructive testing experiments. Some tested media feature thin layers which are difficult to handle in numerical computations due to the very small element size required for meshing them. To overcome these difficulties, one idea consists in using effective transmission conditions (ETCs) across the two interfaces bounding the layer. This work aims at establishing such ETCs by means of a formal asymptotic analysis with respect to the (small) layer thickness.
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Marc Bonnet, Aliénor Burel, Patrick Joly. Effective Transmission Conditions for Thin-Layer Transmission Problems in Elastodynamics. WAVES 2013 - 11th International Conference on Mathematical an Numerical Aspect of Waves, Jun 2013, Gammarth, Tunisia. ⟨hal-00937962⟩

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