Publications

• 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⟩

• 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⟩

• 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⟩

• Communication dans un congrès

On a new type of Pythagorean-Hodograph curves and their use in applications

Gudrun Albrecht

International Conference on Applied Mathematics and Informatics - ICAMI 2013, Nov 2013, San Andres Island, Colombia. ⟨hal-03156002⟩

• Article dans une revue

Elaboration and characterization of a low frequency and wideband piezoceramic generator for energy harvesting

Mohamed Rguiti, A. Hajjaji, Sophie d'Astorg, Christian Courtois, Anne Leriche

The aim of this work was to efficiently convert the mechanical vibrations into electrical energy by using direct piezoelectric effect. Most mechanical vibrations occur at low frequencies varying from 50 to 120 Hz. As piezoelectric converters provide maximum energy conversion when their natural…

Optical Materials, 2013, 36 (1), pp.8-12. ⟨10.1016/j.optmat.2013.07.017⟩. ⟨hal-03033179⟩

• Article dans une revue

Convergence analysis of 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…

Numerical Methods for Partial Differential Equations, 2013, 29 (6), pp.2107-2132. ⟨10.1002/num.21793⟩. ⟨hal-03212516⟩

• Poster de conférence

Regularity results for elliptic problems with measure

Sadjiya Ariche, Colette De Coster, Serge Nicaise

In this work, we study the solution of the Laplace equation: \[ -\Delta u =g \delta_\sigma\;\;\;\hbox{ in } Q\subseteq \mathbb{R}^3, \] where \(\delta_\sigma\) is the Dirac mass on a crack \(\sigma\) of \(Q\) and \(g\in L^2(\sigma)\). First, we discuss the existence and the uniqueness of a solution…

Nord Pas-de-Calais/Belgium congress of mathematics, Oct 2013, Valenciennes, France. ⟨hal-03142664⟩