Publicaciones

• Communication dans un congrès

Points massiques, courbes de Bézier quadratiques et coniques : un état de l'art

Jean-Paul Becar, Lionel Garnier

Les courbes de Bézier quadratiques jouent un rôle fondamental pour la modélisation d'arc de coniques. L'utili-sation de points massiques permet de modéliser des demi-coniques dans le plan affine euclidien. A partir d'une courbe de Bézier de degré 2 donnée, il est possible de..., It is well known quadratic Bézier curves define conics. The use of massic points permits to define a semi-conic in the Euclidean plane. Moreover, from a given quadratic Bézier curve, we can determine the properties of the underlying conic. Moreover, the choice of an adequat non-degenerate...

GTMG 2014, Mar 2014, LYON, France. ⟨hal-02516049⟩

• Article dans une revue

Stabilization of the wave equation in a polygonal domain with cracks

Gilbert Bayili, Serge Nicaise

The stabilization of the wave equation in a polygonal domain with cracks is analyzed. Using the multiplier method, we show that a boundary stabilization augmented by an internal one concentrated in a small neighbourhood of the cracks lead to the exponential stability of the problem.

Revista Matematica Complutense, 2014, 27 (1), pp.259-289. ⟨10.1007/s13163-012-0113-z⟩. ⟨hal-03133116⟩

• Article dans une revue

Lighter tableware ceramic by controlling porosity: Effect of porosity on mechanical properties

Benjamin Verhaeghe, Christian Courtois, F. Petit, F. Cambier, Jean-Dominique Guerin, Anne Leriche, Stuart Hampshire

Reduction in weight of ceramics has been achieved by using a specific porous agent, starch, to achieve porosity ranging from 10% to 35%. Two incorporation routes of the porous agent have been investigated. For different levels of weight reduction, ceramics are characterized by microstructural...

Ceramics International, 2014, 40 (1), pp.763-770. ⟨10.1016/j.ceramint.2013.06.066⟩. ⟨hal-03448297⟩

• Article dans une revue

Isotropic affine hypersurfaces of dimension 5

Olivier Birembaux, Luc Vrancken

We study affine hypersurfaces M which have isotropic difference tensor. Note that any surface always has isotropic difference tensor. Therefore, we may assume that n > 2. Such hypersurfaces have previously been studied by the first author and M. Djoric in [1] under the additional assumption that...

Journal of Mathematical Analysis and Applications, 2014, 417 (2), pp.918-962. ⟨10.1016/j.jmaa.2014.03.071⟩. ⟨hal-03233808⟩

• Chapitre d'ouvrage

Introduction à la théorie du contrôle

Virginie Régnier

Introduction à quelques problèmes d’EDP : notes du groupe de travail de l’équipe EDP du Laboratoire de Mathématiques et leurs Applications de Valenciennes, Ed. Universitaires Européennes, pp.155-186, 2014, 9786131506833. ⟨hal-03142471⟩

• Article dans une revue

Stochastic Runge-Kutta methods with the constant elasticity of variance (CEV) diffusion model for pricing option

Rajae Aboulaich, Abdelilah Jraifi, Medarhri Ibtissam

In order to solve numerically the constant elasticity of variance (CEV) model for pricing of European call option, we propose in this work the Stochastic Runge-Kutta method. We compare the obtained results using this approache, with those given by the Monte Carlo method in Broadie-Kaya [4]. Further...

Int. J. Math. Anal. , 2014, 8 (18), pp.849-856. ⟨10.12988/ijma.2014.4381⟩. ⟨hal-03135016⟩

• Article dans une revue

On two optimal control problems for magnetic fields

Serge Nicaise, Simon Stingelin, Fredi Tröltzsch

Two optimal control problems for instationary magnetization processes are considered in 3D spatial domains that include electrically conducting and nonconducting regions. The magnetic fields are generated by induction coils. In the first model, the induction coil is considered as part of the...

Computational Methods in Applied Mathematics, 2014, 14 (4), pp.555-573. ⟨10.1515/cmam-2014-0022⟩. ⟨hal-03166081⟩

• Thèse

Développement et caractérisations de fibres piézoélectriques à âme métallique pour applications aéronautiques, Development and characterization of metal core piezoelectric fibres for aeronautic applications

Aurélien Dolay

Pour les applications aéronautiques, les fibres en céramique piézoélectrique à âme métallique permettent d'imaginer des solutions pour avoir des dispositifs actifs et des capteurs complétement intégrés dans des structures, telles que les composites renforcés par des fibres.La démarche de cette..., Metal core piezoelectric fibres are suitable for active devices and sensors fully embedded in structuresas fibres reinforced polymers for aeronautic applications.The aim of this study is to develop and characterize such fibres that have many advantages: radial mode activation allows the use of low...

Mécanique des matériaux [physics.class-ph]. Université de Valenciennes et du Hainaut-Cambresis, 2013. Français. ⟨NNT : 2013VALE0044⟩. ⟨tel-00991950⟩

• Rapport

Existence results for the $A-\varphi$ magnetodynamic formulation of the Maxwell system

Serge Nicaise

The $A/\varphi$ magnetodynamic Maxwell system given in its potential and space/time formulation is a popular model considered in the engineering community. We establish exitence of strong solutions with the help of the theory of Showalter on degenerated parabolic problems; using energy estimates,...

2013. ⟨hal-00917597⟩

• Article dans une revue

Sintering behavior and non-linear properties of ZnO varistors processed in microwave electric and magnetic fields at 2.45GHz

Alexandre Badev, Sylvain Marinel, Romain Heuguet, Etienne Savary, Dinesh Agrawal

A study of the densification behavior and grain growth mechanisms of ZnO-based varistors composed of 98 mol.% ZnO–2 mol.% (Bi2O3, Sb2O3, Co3O4, MnO2) has been carried out. The pressed samples were sintered in microwave electric (E) and magnetic (H) fields using a single-mode cavity of 2.45 GHz. The...

Acta Materialia, 2013, 61 (20), pp.7849-7858. ⟨10.1016/j.actamat.2013.09.023⟩. ⟨hal-02450338⟩