Publications

• Article dans une revue

A posteriori error estimates of the stabilized Crouzeix-Raviart finite element method for the Lamé-Navier equations

Emmanuel Creusé, Mohamed Farhloul, Serge Nicaise, Luc Paquet

We obtain a posteriori error estimates for a variant of (non-locking) stabilized non-conforming methods based on the Crouzeix-Raviart element introduced by P. Hansbo and M.G. Larson in [M2AN 37 (2003) 63-72]. We derive upper and lower a posteriori error bounds which are robust with respect to the…

Far East Journal of Mathematical Sciences, 2015, 96 (2), pp.167-192. ⟨10.17654/FJMSJan2015_167_192⟩. ⟨hal-00777678⟩

• Article dans une revue

Characterization of the generalized Calabi composition of affine hyperspheres

M. Antic, Z. Hu, C. C. Li, Luc Vrancken

In this paper, continuing with Hu-Li-Vrancken and the recent work of Antie-Dillen-Schoels Vrancken, we obtain a decomposition theorem which settled the problem of how to determine whether a given locally strongly convex affine hypersurface can be decomposed as a generalized Calabi composition of…

Acta Mathematicae Applicatae Sinica, 2015, 31 (10), pp.1531-1554. ⟨10.1007/s10114-015-4431-1⟩. ⟨hal-03233620⟩

• Ouvrages

Stabilization of elastic systems by collocated feedback

Kaïs Ammari, Serge Nicaise

Springer Verlag, 2124, 178 p., 2015, Lecture Notes in Mathematics. ⟨hal-03227597⟩

• Article dans une revue

Stabilization and asymptotic behavior of a generalized telegraph equation

Serge Nicaise

We analyze the stability of different models of the telegraph equation set in a real interval. They correspond to the coupling between a first-order hyperbolic system and a first-order differential equation of parabolic type. We show that some models have an exponential decay rate, while other ones…

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2015, 66 (6), pp.3221-3247. ⟨10.1007/s00033-015-0568-0⟩. ⟨hal-03151992⟩

• Article dans une revue

Source identification for the wave equation on graphs

Sergei Avdonin, Serge Nicaise

We consider source identification problems for the wave equation on graphs. The main advantage of our approach is its locality. Our algorithm reduces essentially to the resolution of linear integral Volterra equations of the second kind and is new even for an interval.

Inverse Problems, 2015, 31 (9), ⟨10.1088/0266-5611/31/9/095007⟩. ⟨hal-03149914⟩

• Article dans une revue

Space-time residual-based a posteriori estimator for the A-phi formulation in eddy current problems

Roberta Tittarelli, Yvonnick Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou, Olivier Moreau, Olivier Boiteau

In this paper, an a posteriori residual error estimator is presented for the 3-D eddy current problem modeled by the space-time A - φ potential formulation. It is solved by the finite element method in space and the backward Euler scheme in time. Once the reliability as well as the efficiency of…

IEEE Transactions on Magnetics, 2015, 51 (3), ⟨10.1109/TMAG.2014.2354357⟩. ⟨hal-01390250⟩

• Communication dans un congrès

ACTIVE LEARNING BY VIRTUAL PROTOTYPING TECHNIQUE

Mariana Fratu, Jean-Paul Becar, Jean-Charles Canonne, Aurel Fratu

In this paper, the development of virtual prototypes models and their testing for active learning support is described. The personalized virtual applications selected by a tutor are used directly for performing active learning at the university's separated workplace. When using the virtual…

ICERI2015 Conference, IATED, Nov 2015, SEVILLE, Spain. ⟨hal-02513142⟩

• Article dans une revue

Generalizations of Poisson Structures Related to Rational Gaudin Model

Dimitri Gurevich, Vladimir Roubtsov, Pavel Saponov, Zoran Škoda

<p>The Poisson structure arising in the Hamiltonian approach to the rational Gaudin model looks very similar to the so-called modified Reflection Equation Algebra.&nbsp; Motivated by this analogy, we realize a braiding of the mentioned Poisson structure, i.e. we introduce a ”braided…

Annales Henri Poincaré, 2015, 16 (7), pp.1689-1707. ⟨10.1007/s00023-014-0350-4⟩. ⟨hal-01392198⟩

• Communication dans un congrès

Points massiques, hyperbole et hyperboloïde à une nappe

Jean-Paul Becar, Lionel Garnier, Lucie Druoton

Les courbes de Bézier rationnelles quadratiques jouent un rôle fondamental pour la modélisation d'arcs de coniques propre. Cependant, lorsque les deux points extrémaux de l'arc ne sont pas sur la même branche d'une hyperbole, l'utilisation des courbes de Bézier classiques est…

Journées du Groupe de Travail en Modélisation Géométrique 2015,, 2015, POITIERS, France. ⟨hal-02513119⟩

• Article dans une revue

Thermal conductivity modeling of Alumina/Al functionally graded composites

Christine Pelegris, Nabil Ferguen, Willy Leclerc, Yannick Lorgouilloux, Stéphane Hocquet, Olivier Rigo, Mohamed Guessasma, Emmanuel Bellenger, Christian Courtois, Véronique Lardot, Anne Leriche

This paper describes a new manufacturing process for producing functionally graded ceramic‐metal composites with anisotropic properties for thermal management in automotive engine blocks. These composites are elaborated by producing a porosity gradient within an alumina matrix, subsequently…

The Canadian Journal of Chemical Engineering, 2015, 93 (3), pp.192-200. ⟨10.1002/cjce.22091⟩. ⟨hal-03038937⟩