Publicaciones

• ART

Multiplicity results in the non-coercive case for an elliptic problem with critical growth in the gradient

Colette De Coster, Louis Jeanjean

We consider the boundary value problem (Pλ) −∆u = λc(x)u + µ(x)|∇u| 2 + h(x), u ∈ H1 0 (Ω) ∩ L ∞(Ω), where Ω ⊂ R N , N ≥ 3 is a bounded domain with smooth boundary. It is assumed that c 0, c, h belong to L p (Ω) for some p > N. Also µ ∈ L∞(Ω) and µ ≥ µ1 > 0 for some µ1 ∈ R. It is known that...

Journal of Differential Equations, 2017, 262 (10), pp.5231 - 5270. ⟨10.1016/j.jde.2017.01.022⟩. ⟨hal-01755985⟩

• ART

Canal surfaces as Bézier curves using mass points

Lionel Garnier, Jean-Paul Becar, Lucie Druoton

The paper aims to connect the Bézier curves domain to another known as the Minkowski–Lorentz space for CAGD purposes. The paper details these connections. It provides new algorithms for surface representations and surfaces joining. Some $G^1$-blends between canal surfaces illustrate the results...

Computer Aided Geometric Design, 2017, 54, pp.15 - 34. ⟨10.1016/j.cagd.2017.04.003⟩. ⟨hal-01562030⟩

• COMM

Une introduction aux points massiques

Lionel Garnier, Jean-Paul Becar, Lucie Druoton

L’article présente une série de résultats du domaine de la conception géométrique et fabrication assistée par ordinateur. Les courbes planes sont modélisées par des courbes Bézier rationnelles connues par la donnée de points massiques de contrôle. Le cas des coniques illustre ce mode de...

CNRIUT 2017, IUT, May 2017, AUXERRE, France. ⟨hal-02476691⟩

• ART

Four-dimensional locally strongly convex homogeneous affine hypersurfaces

Abdelouahab Chikh Salah, Luc Vrancken

We study four-dimensional locally strongly convex, locally homogeneous, hypersurfaces whose affine shape operator has two distinct principal curvatures. In case that one of the eigenvalues has dimension 1 these hypersurfaces have been previously studied in Dillen and Vrancken (Math Z 212:61–72,...

Journal of Geometry, 2017, 108 (1), pp.119-147. ⟨10.1007/s00022-016-0330-6⟩. ⟨hal-03146492⟩

• ART

An <em>hp</em>-FEM for Singularly Perturbed Transmission Problems

Serge Nicaise, Xenophontos Christos

We perform the analysis of the hp finite element approximation for the solution to singularly perturbed transmission problems, using Spectral Boundary Layer Meshes. In [12] it was shown that this method yields robust exponential convergence, as the degree p of the approximating polynomials is...

• POSTER

L’enseignement du management de projet en IUT : un impératif partenarial

Jean-Paul Becar, Gino Gramaccia, Patrick Muller, Sandrine Payan

Journées Pédagogie et Professionnalisation, Mar 2017, Lille, France. ⟨hal-03163507⟩

• POSTER

Nano surface treatment for hydrodynamic applications - Ship paint as a case study

Ali Ahmed Alshehri, Laurent Keirsbulck, Philippe Champagne, Pascal Laurent, Marc Lippert, El Hadj Dogheche

9ème Edition Franco-Belge du Mardi des Chercheurs, MdC 2018, Mar 2017, Wallers-Arenberg, France. ⟨hal-03549770⟩

• COMM

Courbes de Bézier quadratiques et nombres complexes massiques

Lionel Garnier, Jean-Paul Becar

Les courbes de Bézier quadratiques jouent un rôle fondamental pour la modélisation d'arcs de coniques. L'utili-sation de points massiques permet de modéliser des demi-coniques dans le plan affine euclidien ou des surfaces canal dans l'espace de Minkowski-Lorentz. L'utilisation...

Journées du Groupe de Travail en Modélisation Géométrique 2017, Cachan, Mar 2017, CACHAN, France. ⟨hal-02476681⟩

• POSTER

Convergence analysis of the time-harmonic Maxwell equations with impedance boundary conditions

Serge Nicaise, Jérôme Tomezyk

Mardi des chercheurs 2017, Mar 2017, Mons, Belgium. ⟨hal-03186353⟩

• COMM

Développement de capteurs acoustiques pour le suivi du séchage des bétons réfractaires

Saliou Ndao, Marc Duquennoy, Christian Courtois, Mohammadi Ouaftouh

8ème Edition Franco-Belge du Mardi des Chercheurs, MdC 2017, Mar 2017, Mons, Belgique. ⟨hal-03591481⟩