Publications

• Article dans une revue

Weighted analytic regularity in polyhedra

Martin Costabel, Monique Dauge, Serge Nicaise

We explain a simple strategy to establish analytic regularity for solutions of second order linear elliptic boundary value problems. The abstract framework presented here helps to understand the proof of analytic regularity in polyhedral domains given in "http://hal.archives-ouvertes.fr/hal-…

Computers & Mathematics with Applications, 2014, 67 (4), pp.807-817. ⟨10.1016/j.camwa.2013.03.006⟩. ⟨hal-00735620v2⟩

• 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

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⟩

• 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

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

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⟩

• 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⟩

• 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⟩

• Article dans une revue

Effect of some thermal treatments on interface adhesion toughness of various thick thermal spray coatings

Didier Chicot, G. Marot, P. Araujo, N. Horny, Arnaud Tricoteaux, M. Staia, J. Lesage

Surface Engineering, 2013, 22 (5), pp.390-398. ⟨10.1179/174329406X126690⟩. ⟨hal-03577788⟩