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

Almost complex surfaces in the nearly Kähler S3 X S3

John Bolton, Franki Dillen, Bart Dioos, Luc Vrancken

In this paper we initiate the study of almost complex surfaces in the nearly Kähler S3×S3. We show that on such a surface it is possible to define a global holomorphic differential, which is induced by an almost product structure on the nearly Kähler S3×S3. We also find a local correspondence…

Tohoku mathematical journal, 2015, 67, pp.1-17. ⟨10.2748/tmj/1429549576⟩. ⟨hal-03233846⟩

• Ouvrages

Stabilization of elastic systems by collocated feedback

Kaïs Ammari, Serge Nicaise

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

• 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⟩

• 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

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⟩