Publications

• Thèse

Estimateurs d'erreur a posteriori pour des problèmes dynamiques, A posteriori error estimators for time-dependent problems

Nadir Soualem

Dans une première partie, on introduit des estimateurs d'erreur a posteriori pour l'équation de la chaleur dans R^d, d=2,3 via une méthode d'éléments finis non conformes en espace et un schéma d'Euler implicite en temps. Pour cette discrétisation, on élabore un indicateur d…, In a first part, we introduce an a posteriori estimator for a nonconforming finite element approximation of the heat equation in R^d, d=2,3, using Backward Euler's scheme. For this discretization, we derive a residual indicator based on the jumps of the normal and tangential derivatives of the…

Mathématiques [math]. Université de Valenciennes et du Hainaut-Cambresis, 2007. Français. ⟨NNT : ⟩. ⟨tel-00156845⟩

• Article dans une revue

A posteriori error estimation for the dual mixed finite element method for the $p$-Laplacian in a polygonal domain

Emmanuel Creusé, Mohamed Farhloul, Luc Paquet

For the discrete solution of the dual mixed formulation for the $p$-Laplace equation, we define two residues $R$ and $r$. Then we bound the norm of the errors on the two unknowns in terms of the norms of these two residues. Afterwards, we bound the norms of these two residues by functions of two…

Computer Methods in Applied Mechanics and Engineering, 2007, 196 (25-28), pp.2570-2582. ⟨10.1016/j.cma.2006.11.023⟩. ⟨hal-00768644⟩

• Article dans une revue

A discontinuous Galerkin method on refined meshes for the 2D time-harmonic Maxwell equations in composite materials

Stephanie Lohrengel, Serge Nicaise

In this paper, a discontinuous Galerkin method for the two-dimensional time-harmonic Maxwell equations in composite materials is presented. The divergence constraint is taken into account by a regularized variational formulation and the tangential and normal jumps of the discrete solution at the…

Journal of Computational and Applied Mathematics, 2007, 206 (1), pp.27-54. ⟨10.1016/j.cam.2006.05.020⟩. ⟨hal-00210426⟩

• Article dans une revue

Raw materials dossier, Dossier matières premières

Didier Bernache-Assollant, Jean-Pierre Bonnet, C. Carry, C. Chaput., Thierry Chartier, J.-L. Chermant, B. Durand, S. Garrault, N. Herlin, J.-M. Lamerant, Y. Leconte, S. Le Gallet, Anne Leriche, J.-C. Niepce, J. Poirier, F. Rebillat, F. Valdivieso

Industrie céramique et verrière (L’), 2007, 1012, pp.40-73. ⟨hal-00293786⟩

• Article dans une revue

Comparison of two molten flux process for the elaboration of textured PZT thin plates

Christian Courtois, Stéphanie Devemy, Philippe Champagne, Marc Lippert, Mohamed Rguiti, Anne Leriche, Daniel Chateigner, Emmanuel Guilmeau

In this paper, we describe a new protocol for the elaboration of textured PZT thin plates. This protocol is based on three steps: (i) powder synthesis, (ii) tape casting/lamination in green state and (iii) sintering/densification. Powder synthesis is operated through a specific molten flux method,…

Journal of the European Ceramic Society, 2007, 27 (13-15), pp.3779-3783. ⟨10.1016/j.jeurceramsoc.2007.02.160⟩. ⟨hal-04283089⟩

• Article dans une revue

La saga des matériaux: classes et mise en forme des céramiques, The materials saga: sintering

Didier Bernache-Assollant, Jean-Pierre Bonnet, Claude Paul Carry, Christophe Chaput, Thierry Chartier, Jean-Louis Chermant, Bernard Durand, Sandrine Garrault, Nathalie Herlin-Boime, Jean Michel Lamerant, Yann Leconte, Sophie Le Gallet, Anne Leriche, Jean-Claude Niepce, Jacques Poirier, Francis Rebillat, Françoise Valdivieso

In ICV no 1010, we inaugurated our materials saga with the classification and shaping of ceramics. This second and short chapter deals with sintering and its different forms: non reactive or reactive sintering, natural or pressure sintering as well as two essential parameters: density and porosity.

Industrie céramique et verrière (L’), 2007, 1011, pp.40-74. ⟨hal-00293788⟩

• Article dans une revue

Residual a posteriori error estimators for contact problems in elasticity

Patrick Hild, Serge Nicaise

This paper is concerned with the unilateral contact problem in linear elasticity. We define two a posteriori error estimators of residual type to evaluate the accuracy of the mixed finite element approximation of the contact problem. Upper and lower bounds of the discretization error are proved for…

ESAIM: Mathematical Modelling and Numerical Analysis, 2007, 41 (5), pp.897-923. ⟨10.1051/m2an:2007045⟩. ⟨hal-00466479⟩

• Article dans une revue

Weak Solutions of Semilinear PDEs in Sobolev Spaces and Their Probabilistic Interpretation via the FBSDEs

Isabelle Turpin, Youssef Ouknine

The article is devoted to representation of weak solutions (in Sobolev sense) of degenerate parabolic partial differential equations through forward-backward stochastic differential equations. Before, we prove a weak version of a norm equivalence result.

Stochastic Analysis and Applications, 2006, 24 (4), pp.871-888. ⟨10.1080/07362990600753601⟩. ⟨hal-03359278⟩

• Thèse

Dual mixed finite element method of the elasticity and elastodynamic problems: a priori and a posteriori error analysis., Méthode des éléments finis mixte duale pour les problèmes de l'élasticité et de l'élastodynamique: analyse d'erreur à priori et à posteriori.

Lahcen Boulaajine

In this work, we study the refinement of grids for the dual mixed finite element method for two types of problems: the first one concerns the linear elasticity problem and the second one the linear elastodynamic problem. For these two types of problems and in nonregular domains, the mixed finite…, Dans ce travail, nous étudions le raffinement de maillage pour des méthodes d'éléments finis mixtes duales pour deux types de problèmes : le premier concerne le problème de l'élasticité linéaire et le second problème celui de l'élastodynamique. Pour ces deux types de problèmes et…

Mathematics [math]. Université de Valenciennes et du Hainaut-Cambresis, 2006. English. ⟨NNT : ⟩. ⟨tel-00136422⟩

• Article dans une revue

Elaboration of nitride thin films by reactive sputtering

Pierre Yves Jouan, Arnaud Tricoteaux, Nicolas Horny

The aim of this paper is first a better understanding of DC reactive magnetron sputtering and its implications, such as the hysteresis effect and the process instability. In a second part, this article is devoted to an example of specific application: Aluminium Nitride. AlN thin films have been…, O objetivo desse artigo, em um primeiro momento, é uma melhor compreensão da vaporização em um ambiente magnetron reativo DC e as suas conseqüências, tais como o efeito da histeresis e o processo de instabilidade. A segunda parte desse trabalho está dedicada a um estudo de caso: o nitreto de…

Rem : Revista Escola de Minas, 2006, 59 (2), pp.225-232. ⟨10.1590/s0370-44672006000200013⟩. ⟨hal-03455040⟩