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⟩

• Article dans une revue

Développement de capteurs interdigités pour le contrôle de structures

Rafatou Takpara, Dame Fall, Marc Duquennoy, Mohammadi Ouaftouh, Christian Courtois, Mohamed Rguiti, M. Gonon, N. Maurye, Gregory Martic, Véronique Lardot, Laurent Seronveaux, J. Halleux, Christine Pelegris, Mohamed Guessasma

Ce travail porte sur la réalisation de capteurs interdigités (IDT) afin de caractériser la qualité des revêtements et les surfaces des structures. L’enjeu de cette étude est triple. Il s'agit premièrement de disposer de capteurs efficaces pour générer des ondes acoustiques de surface SAW (…

Lebanese Science Journal, 2015, 16 (Special), pp.69-80. ⟨hal-03116778⟩

• Communication dans un congrès

Céramiques thermomécaniques

Jean Denape, Anne Leriche

Présentation générale sur le comportement mécanique des céramiques et les domaines d'applications des céramiques thermomécaniques détaillant : comportement mécanique : élastique linéaire fragile ; la fragilité : origine physique et conséquences ; critère de fragilité : la ténacité ; critère de…

Ecole "Céramiques Techniques" du Groupe Français de la Céramique, Oct 2015, Porquerolles (Var), France. ⟨hal-04432573⟩

• Article dans une revue

The multidimensional wave equation with generalized acoustic boundary conditions I: Strong stability

Zainab 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 asymptotic stability and nonuniform stability of the associated semigroup.

SIAM Journal on Control and Optimization, 2015, 53 (4), pp.2558-2581. ⟨10.1137/140971336⟩. ⟨hal-03134826⟩

• Article dans une revue

Three-Dimensional Minimal CR Submanifolds of the Sphere S 6 (1) Contained in a Hyperplane

Miroslava Antić, Luc Vrancken

It is well known that the sphere S6(1) admits an almost complex structure J, constructed using the Cayley algebra, which is nearly Kähler. Let M be a Riemannian submanifold of a manifold (Formula Presented.) with an almost complex structure J. It is called a CR submanifold in the sense of Bejancu (…

Mediterranean Journal of Mathematics, 2015, 12 (4), pp.1429-1449. ⟨10.1007/s00009-015-0530-6⟩. ⟨hal-03233786⟩

• Communication dans un congrès

THREE EXPERIMENTS OF LEARNING BY EXAMPLES

Jean-Paul Becar, Jean-Charles Canonne, Eric Cartignies, Mariana Fratu, Aurel Fratu, Marcin Iwanowski, Witold Czajewski

International Technology, Education and Development Conference 2015, IATED, 2015, MADRID, Spain. ⟨hal-02513164⟩

• 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⟩

• 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⟩

• 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⟩