Publications

• 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⟩

• Chapitre d'ouvrage

Sintering of Ceramics

Anne Leriche, Stuart Hampshire, Francis Cambier

This chapter gives an overview of surface and bulk matter transport processes occurring during the densification of ceramic powder compacts. Starting from purified or chemically synthesized raw materials, sintering takes place by either solid state or liquid phase mechanisms during heat treatment…

Reference Module in Materials Science and Materials Engineering, Elsevier, 2017, ⟨10.1016/B978-0-12-803581-8.10288-7⟩. ⟨hal-03066533⟩

• 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⟩

• 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

Spectral analysis of a generalized buckling problem on a ball

Colette De Coster, Serge Nicaise, Christophe Troestler

In this paper, the spectrum of the following fourth order problem (Formula Presented.)where D1 is the unit ball in RN, is determined for ν< 0 as well as the nodal properties of the corresponding eigenfunctions. In particular, we show that the first eigenvalue is simple and that the corresponding…

Positivity, 2017, 21 (4), pp.1319-1340. ⟨10.1007/s11117-017-0469-x⟩. ⟨hal-03163589⟩

• Article dans une revue

Adapted Numerical Methods for the Poisson Equation with $L^2$ Boundary Data in NonConvex Domains

Thomas Apel, Serge Nicaise, Johannes Pfefferer

The very weak solution of the Poisson equation with L 2 boundary data is defined by the method of transposition. The finite element solution with regularized boundary data converges in the L 2 (Ω)-norm with order 1/2 in convex domains but has a reduced convergence order in nonconvex domains…

SIAM Journal on Numerical Analysis, 2017, 55 (4), pp.1937-1957. ⟨10.1137/16m1062077⟩. ⟨hal-01957588⟩

• Article dans une revue

Generalized Yangians and their Poisson counterparts

Dimitri Gurevich, Pavel Saponov

By generalized Yangians, we mean Yangian-like algebras of two different classes. One class comprises the previously introduced so-called braided Yangians. Braided Yangians have properties similar to those of the reflection equation algebra. Generalized Yangians of the second class, RTT-type…

Theoretical and Mathematical Physics, 2017, 192 (3), pp.1243 - 1257. ⟨10.1134/S004057791709001X⟩. ⟨hal-03172948⟩

• Article dans une revue

Dispersive effects for the Schrodinger equation on the tadpole graph

Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise

We consider the free Schrodinger group e(-itd2/dx2) on the tadpole graph R. We first show that the time decay estimates L-1(R) -> L infinity(R) is in vertical bar t vertical bar(-1/2) with a constant independent of the circumference of the circle. Our proof is based on an appropriate…

Journal of Mathematical Analysis and Applications, 2017, 448 (1), pp.262-280. ⟨10.1016/j.jmaa.2016.10.060⟩. ⟨hal-02152586⟩