Publications

• Article dans une revue

δ ] (2, 2)-ideal centroaffine hypersurfaces of dimension 5

Handan Yildirim, Luc Vrancken

The notion of an ideal submanifold was introduced by Chen at the end of the last century. A survey of recent results in this area can be found in his book [9]. Recently, in [10], an optimal collection of Chen's inequalities was obtained for Lagrangian submanifolds in complex space forms. As…

Taiwanese Journal of Mathematics, TJM, 2017, 21 (2), pp.283-304. ⟨10.11650/tjm/7809⟩. ⟨hal-03184684⟩

• Poster de conférence

Control of the field of displacements of a semi-transparent body in the setting of the thermoviscoelasticity

Hawraa Nabolsi, Luc Paquet

Matinée des Chercheurs, Mar 2017, Mons, Belgium. ⟨hal-03172904⟩

• Article dans une revue

On four-dimensional Einstein affine hyperspheres

Zejun Hu, Haizhong Li, Luc Vrancken

It is well-known that Vrancken–Li–Simon classified locally strongly convex affine hyperspheres in Rn+1 whose affine metric are of constant sectional curvatures, but on the other side it is still a difficult problem to classify n-dimensional locally strongly convex affine hyperspheres whose affine…

Differential Geometry and its Applications, 2017, 50, pp.20-33. ⟨10.1016/j.difgeo.2016.10.003⟩. ⟨hal-03172966⟩

• Ouvrages

Nouveaux modèles géométriques pour la C.A.O. et la synthèse d’images

Jean-Paul Becar, Lionel Garnier

La géométrie du 21ème siècle est indissociable de l'ordinateur. La performance des logiciels de géométrie qu'ils soient gratuits ou sous licence d'exploitation s'accroit de jour en jour. La plupart repose sur la représentation de courbes à l'aide de points de contrôle…

Editions Universitaires Européennes, 2017, 978-3-639-54676-7. ⟨hal-03131081⟩

• Article dans une revue

Convergence and stability analyses of hierarchic models of dissipative second order evolution equations

Serge Nicaise

We perform some hierarchical analyses of dissipative systems. For that purpose, we first propose a general abstract setting, prove a convergence result and discuss some stability properties. This abstract setting is then illustrated by significant examples of damped (acoustic) wave equations for…

Collectanea Mathematica, 2017, 68 (3), pp.433-462. ⟨10.1007/s13348-017-0192-8⟩. ⟨hal-03152027⟩

• Article dans une revue

Regularity and a priori error analysis of a Ventcel problem in polyhedral domains

Serge Nicaise, Hengguang Li, Anna L. Mazzucato

We consider the regularity of a mixed boundary value problem for the Laplace operator on a polyhedral domain, where Ventcel boundary conditions are imposed on one face of the polyhedron and Dirichlet boundary conditions are imposed on the complement of that face in the boundary. We establish…

Mathematical Methods in the Applied Sciences, 2017, 40 (5), ⟨10.1002/mma.4083⟩. ⟨hal-01332720v3⟩

• Pré-publication, Document de travail

Time-asymptotic propagation of approximate solutions of Schrödinger equations with both potential and initial condition in Fourier-frequency bands

Florent Dewez

In this paper, we consider the Schrödinger equation in one space-dimension with potential. We start by proving that this equation is well-posed in H1(R) if the potential belongs to W1,∞(R), and we provide a representation of the solution as a series, called Dyson-Phillips series, by using semigroup…

2017. ⟨hal-03142532⟩

• Article dans une revue

Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map.

B. Bektas, J. van Der Veken, Luc Vrancken

We give a complete classification of Riemannian and Lorentzian surfaces of arbitrary codimension in a pseudo-sphere whose pseudo-spherical Gauss maps are of 1-type or, in particular, harmonic. In some cases a concrete global classification is obtained, while in other cases the solutions are…

Ann. Global Anal. Geom., 2017, 52, pp.45-55. ⟨10.1007/s10455-017-9548-2⟩. ⟨hal-03233877⟩

• Article dans une revue

A mixed discontinuous finite element method for folded Naghdi's shell in Cartesian coordinates

Serge Nicaise, Ismail Merabet

In this work a mixed method and its DG formulation are proposed to solve Naghdi's equations for a thin linearly elastic shell. The unknowns of the problem are the displacement of the points of the middle surface, the rotation field of the normal vector to the middle surface of the shell and a…

Mathematics of Computation, 2017, 86 (303), pp.1-47. ⟨10.1090/mcom/3094⟩. ⟨hal-03159113⟩

• Article dans une revue

A guaranteed equilibrated error estimator for the $\mathbf{A}-\varphi$ and $\mathbf{T}-\Omega$ magnetodynamic harmonic formulations of the Maxwell system

Emmanuel Creusé, Serge Nicaise, Roberta Tittarelli

In this paper, a guaranteed equilibrated error estimator is proposed for the harmonic magnetodynamic formulation of the Maxwell's system. This system is recast in two classical potential formulations, which are solved by a Finite Element method. The equilibrated estimator is built starting…

IMA Journal of Numerical Analysis, 2017, 37 (2), pp.750-773. ⟨10.1093/imanum/drw026⟩. ⟨hal-01110258⟩