Publicaciones

• Communication dans un congrès

Des courbes et surfaces " Bézier " Une histoire de géométrie polaire brûlante d'actualité.

Jean-Paul Becar, Jean Vareille

XVIIème colloque national de la recherche en IUT, CNRIUT'11., Jun 2011, Cherbourg, France. ⟨hal-00662745⟩

• Article dans une revue

Exponential stability of the wave equation with boundary time-varying delay

Serge Nicaise, Cristina Pignotti, Julie Valein

We consider the wave equation with a time-varying delay term in the boundary condition in a bounded and smooth domain [\Omega\subset\RR^n.] Under suitable assumptions, we prove exponential stability of the solution. These results are obtained by introducing suitable energies and suitable Lyapunov...

Discrete and Continuous Dynamical Systems - Series S, 2011, 4 (3), pp.693-722. ⟨10.3934/dcdss.2011.4.693⟩. ⟨hal-00599629⟩

• Rapport

An hp Finite Element Method for singularly perturbed transmission problems in smooth domains

Serge Nicaise, Xenophontos Christos

We consider a two-dimensional singularly perturbed transmission problem with two different diffusion coefficients, in a domain with smooth (analytic) boundary. The solution will contain boundary layers only in the part of the domain where the diffusion coefficient is high and interface layers along...

2011. ⟨hal-00583134⟩

• Rapport

Internal stabilization of a Mindlin-Timoshenko model by interior feedbacks

Serge Nicaise

A Mindlin-Timoshenko model with non constant and non smooth coefficients set in a bounded domain of $\R^d, d\geq 1$ with some internal dissipations is proposed. It corresponds to the coupling between the wave equation and the dynamical elastic system. If the dissipation acts on both equations, we...

2011. ⟨hal-00566157⟩

• Pré-publication, Document de travail

Time-domain study of the Drude-Born-Fedorov model for a class of heterogeneous chiral materials

Patrick Ciarlet, Guillaume Legendre, Serge Nicaise

We deal with the well-posedness of the transient Maxwell equations in a particular class of heterogeneous chiral material modeled by the Drude-Born-Fedorov constitutive relations. A new formulation of the underlying evolution problem allows us to correct a previous result establishing the existence...

2011. ⟨hal-00430196v2⟩

• Article dans une revue

Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction

David Dereudre, Frédéric Lavancier

General models of Gibbs Delaunay-Voronoi tessellations, which can be viewed as extensions of Ord's process, are considered. The interaction may occur on each cell of the tessellation and between neighbour cells. The tessellation may also be subjected to a geometric hardcore interaction,...

Computational Statistics and Data Analysis, 2011, 55 (1), pp.498-519. ⟨10.1016/j.csda.2010.05.018⟩. ⟨hal-00402029v2⟩

• Article dans une revue

Singular behavior of the solution of the periodic-Dirichlet heat equation in weighted L^p -Sobolev spaces

Colette De Coster, Serge Nicaise

We consider the heat equation in a polygonal domain Ω of the plane in weighted L^p-Sobolev spaces ∂_t u − ∆u = h, in Ω × ] − π, π[, u = 0, on ∂Ω × [−π, π], u(•, −π) = u(•, π), in Ω. Here h belongs to L^p (−π, π; L^p_µ (Ω)), where L^p_µ (Ω) = {v ∈ L^p_loc (Ω) : r^µ v ∈ L p (Ω)}, with a real...

Advances in Differential Equations, 2011, 16, pp.221-256. ⟨hal-03721684⟩

• Article dans une revue

Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system

Emmanuel Creusé, Serge Nicaise, Emmanuel Verhille

We consider a conforming finite element approximation of the Reissner-Mindlin system. We propose a new robust a posteriori error estimator based on H(div ) conforming finite elements and equilibrated fluxes. It is shown that this estimator gives rise to an upper bound where the constant is one up...

Calcolo, 2011, 48 (4), pp.307-335. ⟨10.1007/s10092-011-0042-0⟩. ⟨hal-00531654⟩

• Article dans une revue

Quadratic functors on pointed categories

Manfred Hartl, Christine Vespa

We study polynomial functors of degree $2$, called quadratic, with values in the category of abelian groups $Ab$, and whose source category is an arbitrary category $\C$ with null object such that all objects are colimits of copies of a generating object $E$ which is small and regular projective;...

Advances in Mathematics, 2011, 226 (5), pp.3927-4010. ⟨10.1016/j.aim.2010.11.008⟩. ⟨hal-00334292v3⟩

• Communication dans un congrès

Animation 3D : mouvements de caméra réalistes pour la stop motion

Laura Saini, Nicolas Lissarrague, Gudrun Albrecht, Lucia Romani, Christoph Fünfzig, Jean-Paul Becar

L'article présente un système qui permet la simulation 3D suivie de son exécution sur un plateau d'un mouvement de caméra réaliste pour la stop motion. Les travaux de recherche portent sur deux points : un état de l'art des outils actuels pour produire des mouvements de caméra en..., The article presents a system, specifically designed for the animation technique of stop motion, that combines 3D simulation and on stage execution of a realistic camera movement. We focus our attention on the following two aspects: firstly we present a state of the art of the existing tools for...

H2PTM'11 : Hypermédias et pratiques numériques, Oct 2011, Metz, France. pp.137-143. ⟨hal-05190196⟩