Publications

• Article dans une revue

Error estimates of Morley triangular element satisfying the maximal angle condition

Shipeng Mao, Serge Nicaise, Zhong-Ci Shi

In this paper, we establish the convergence of a nonconforming triangular Morley element for the plate bending problem on degenerate meshes. An explicit bound for the interpolation error is derived for arbitrary triangular meshes without any assumptions. The optimal convergence rates of the moment…

International Journal of Numerical Analysis and Modeling, 2010, 7 (4), pp.639-655. ⟨inria-00543202⟩

• Communication dans un congrès

Cross-coupling cancellation in transducer arrays

Abdelmajid Bybi, Christian Granger, Sébastien Grondel, Jamal Assaad, Mohamed Rguiti, Anne-Christine Hladky, Emmanuel Moulin

1st Mediterranean Congress on Acoustics, MCA 2010, 2010, Salé, Morocco. ⟨hal-00808303⟩

• Article dans une revue

Vickers Indentation Fracture (VIF) modeling to analyze multi-cracking toughness of Titania, Alumina and Zirconia plasma sprayed coatings

Didier Chicot, G. Duarte, Arnaud Tricoteaux, Benoît Jorgowski, Anne Leriche, Jacky Lesage

For massive brittle materials, the fracture toughness in mode I, KIC, can be determined using various reliable techniques. Besides, Vickers Indentation Fracture (VIF) technique has been developed to locally determine fracture toughness. However, since the indentation test generates a complex three-…

Materials Science and Engineering: A, 2009, 527 (1-2), pp.65-76. ⟨10.1016/j.msea.2009.08.058⟩. ⟨hal-00429771⟩

• Pré-publication, Document de travail

Numerical scheme for a whole class of sweeping process

Juliette Venel

The aim of this paper is to study a whole class of first order differential inclusions, which fit into the framework of perturbed sweeping process by uniformly prox-regular sets. After obtaining well-posedness results, we propose a numerical scheme based on a prediction-correction algorithm and we…

2009. ⟨hal-00376442v2⟩

• Pré-publication, Document de travail

Energy decay for solutions of the wave equation with general memory boundary conditions.

Pierre Cornilleau, Serge Nicaise

We consider the wave equation in a smooth domain subject to Dirichlet boundary conditions on one part of the boundary and dissipative boundary conditions of memory-delay type on the remainder part of the boundary, where a general borelian measure isinvolved. Under quite weak assumptions on this…

2009. ⟨hal-00360382⟩

• Article dans une revue

STABILITY OF THE HEAT AND OF THE WAVE EQUATIONS WITH BOUNDARY TIME-VARYING DELAYS

Serge Nicaise, Julie Valein, Emilia Fridman

Exponential stability analysis via Lyapunov method is extended to the one-dimensional heat and wave equations with time-varying delay in the boundary conditions. The delay function is admitted to be time-varying with an a priori given upper bound on its derivative, which is less than 1. Sufficient…

Discrete and Continuous Dynamical Systems - Series S, 2009, 2 (3), pp.559-581. ⟨10.3934/dcdss.2009.2.559⟩. ⟨hal-03579866⟩

• Article dans une revue

Dispositif expérimental d'analyse des performances de cellules photovoltaïques

Jean-Paul Becar, Fabrice Robert, Jean-Charles Canonne, Laurent Vermeiren

L'article rapporte un travail de conception, de réalisation et d'utilisation d'un dispositif expérimental d'analyse de performances de cellules photovoltaïques. Initié à son origine par des questionnements d'étudiants d'un Institut Universitaire de Technologie relatifs…

Journal sur l'enseignement des sciences et technologies de l'information et des systèmes, 2009, 8, pp.1009. ⟨10.1051/j3ea:2008050⟩. ⟨hal-02049289⟩

• Article dans une revue

Stabilization of the Wave Equation on 1-d Networks

Julie Valein, Enrique Zuazua

In this paper we study the stabilization of the wave equation on general 1-d networks. For that, we transfer known observability results in the context of control problems of conservative systems (see [R. Dáger and E. Zuazua, Wave Propagation, Observation, and Control in 1-d Flexible Multi-…

SIAM Journal on Control and Optimization, 2009, 48 (4), pp.2771-2797. ⟨10.1137/080733590⟩. ⟨hal-03550152⟩

• Thèse

Stabilité de quelques problèmes d'évolution, Stability of some evolution problems

Julie Valein

Dans cette thèse nous étudions la stabilisation de quelques équations d'évolution par rétro-action (feedback). Tout d'abord, nous considérons la stabilisation de l'équation des ondes sur des réseaux 1-d par des feedbacks situés aux nœuds. Dans le premier chapitre, en supposant que le…, In this PhD thesis we study the stabilization of some evolution equations by feedback laws. First we consider the stabilization of the wave equation on 1-d networks with nodal feedbacks. In chapter 1, assuming that the weight of the feedback without delay is smaller than the one with delay, we give…

Mathématiques [math]. Université de Valenciennes et du Hainaut-Cambrésis, 2008. Français. ⟨NNT : 2008VALE0032⟩. ⟨tel-03012114⟩

• Thèse

Analyse et modèles dynamiques non commutatifs sur l'espace de q-Minkowski, Analysis and Noncommutative Dynamical Models on q-Minkowski Space Algebra

Antoine Dutriaux

Cette thèse se place dans le cadre du vaste domaine s'intitulant géométrie non commutative, domaine dont l'étude est motivée par l'opinion courante des mathématiciens et physiciens selon laquelle les méthodes de la géométrie non commutative peuvent être utiles pour décrire certains…, The present thesis deals with the large field of noncommutative geometry. This field is extensively studied because of mathematicians and physicists' common opinion that noncommutative geometry methods are useful tools to describe dynamical processes at Planck length. So the main purpose of…

Mathématiques [math]. Université de Valenciennes et du Hainaut-Cambresis, 2008. Français. ⟨NNT : ⟩. ⟨tel-00289899⟩