Sébastien Imperiale

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We study the implicit time discretization of piano strings governing equations within the Timoshenko prestressed beam model. Such model features two different waves, namely the flexural and shear waves, that propagate with very different velocities. We present a novel implicit time discretization that reduces the numerical dispersion while allowing the use(More)
The goal of quantitative elastography is to identify biomechanical parameters from interior displacement data, which are provided by other modalities, such as ultrasound or magnetic resonance imaging. In this paper, we analyze the stability of several linearized problems in quantitative elastography. Our method is based on the theory of redundant systems of(More)
Seismocardiography (SCG) is measurement of sternal acceleration caused by heart beats. Although fiducial cardiac events have been associated with seismocardiogram extrema, the forces that cause the vibrations are unknown. The goal of this study was to create a 3D model of the thorax capable of modelling its vibrations under heart-like forces. We used the(More)
After setting a mixed formulation for the propagation of linearized water waves problem, we define its spectral element approximation. Then, in order to take into account unbounded domains, we construct absorbing perfectly matched layer for the problem. We approximate these perfectly matched layer by mixed spectral elements and show their stability using(More)
We study the implicit time discretization of Timoshenko prestressed beams. This model features two types of waves: flexural and shear waves, that propagate with very different velocities. We present a novel implicit time discretization adapted to the physical phenomena occuring at the continuous level. After analyzing the continuous system and the two(More)
Modeling and simulation in the field of NDT are increasingly used in numerous industrial sectors concerned by complex inspection methods. The high frequency semi-analytical models implemented in the CIVA software provide efficient simulation tools but with a well-known limited range of validity. For instance, their precision drops for defects with(More)
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