Publications

• Communication dans un congrès

Points massiques, espace des sphères et « hyperbole »

Lionel Garnier, Lucie Druoton, Jean-Paul Becar

Les courbes de Bézier quadratiques à points pondérés de contrôle jouent un rôle fondamental pour la modéli-sation d'arcs bornés de coniques. L'utilisation de points massiques permet de modéliser aussi bien des arcs de coniques non bornés que des branches d'hyperboles dans le plan…, The use of massic points permits to define a branch of a hyperbola in the Euclidean plane using a Rational Quadratic Bézier Curve. In the space of spheres, a circular cone, a circular cylinder, a torus, a pencil of spheres or a Dupin cyclide is represented by a conic. If the kind of the pencil is…

Journées du Groupe de Travail en Modélisation Géométrique 2015, 2015, POITIERS, France. ⟨hal-02513124⟩

• Article dans une revue

The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions II: Polynomial Stability

Z. Abbas, Serge Nicaise

We study the wave equation on a domain of ℝd, d ≥ 2, with dynamical boundary control applied on a part of the boundary and a Dirichlet boundary condition on the remaining part. We prove the polynomial stability of our model by two different methods: the resolvent and multiplier methods. Some…

SIAM Journal on Control and Optimization, 2015, 53 (4), pp.2582-2607. ⟨10.1137/140971348⟩. ⟨hal-03134838⟩

• Article dans une revue

Noncommutative geometry and dynamical models on U(u(2)) background

Dimitri Gurevich, Pavel Saponov

In our previous publications we have introduced a differential calculus on the algebra U(gl(m)) based on a new form of the Leibniz rule which differs from that usually employed in Noncommutative Geometry. This differential calculus includes partial derivatives in generators of the algebra U(gl(m))…

Journal of Generalized Lie Theory and Applications, 2015, 09 (01), ⟨10.4172/1736-4337.1000215⟩. ⟨hal-03164898⟩

• Communication dans un congrès

Controlling the rate of hydration of calcium sulfoaluminate cements the case of lithium and borate ions

M. Dhoury, C. Cau Dit Coumes, J.-B. Champenois, Cyrille Albert-Mercier, D. Damidot

ICCC 2015 - 14th International Congress on the Chemistry of Cement, Oct 2015, Beijing, China. ⟨cea-02509160⟩

• Article dans une revue

Nodal properties of eigenfunctions of a generalized buckling problem on balls

Colette de Coster, Serge Nicaise, Christophe Troestler

In this paper we are interested in the following fourth order eigenvalue problem coming from the buckling of thin films on liquid substrates: Δ^2 u + κ 2 u = −λΔu in B 1 , u = ∂ r u = 0 on ∂ B 1 , where B 1 is the unit ball in R N. When κ > 0 is small, we show that the first eigenvalue is simple…

Positivity, 2015, 19 (4), pp.843-875. ⟨10.1007/s11117-015-0331-y⟩. ⟨hal-01956617⟩

• 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

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⟩

• 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

XRD, Raman and electrical studies on the (1−x)(Na0.5Bi0.5)TiO3−xBaTiO3 lead free ceramics

Hamza Lidjici, Brahim Lagoun, Mokhtar Berrahal, Mohamed Rguiti, Med Amine Hentatti, Hamadi Khemakhem

Lead-free piezoceramics (1−x)Bi0.5Na0.5TiO3–xBaTiO3 (x = 0.00, 0.03, 0.05, 0.065, 0.07, 0.08 and 0.10) have been prepared by the conventional solid reaction method and their structure and electrical properties were systematically investigated. X-ray diffraction analysis indicates that a solid…

Journal of Alloys and Compounds, 2015, 618, pp.643-648. ⟨10.1016/j.jallcom.2014.08.161⟩. ⟨hal-04280963⟩

• 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⟩