Publications

• Thèse

Méthode d'éléments finis mixtes :application aux équations de la chaleur et de Stokes instationnaires, Mixed Finite Element Methods: applications to the Heat Diffusion Equation and of nonstationary Stokes system

Réda Korikache

Dans ce travail on se propose d'établir des estimations d'erreurs a priori pour les solutions approchées d'équations d'évolution obtenues par la méthode d'éléments finis mixte duale en espace et ce pour trois types de problèmes : le premier concerne le problème de Cauchy…, This work intends to establish a priori error estimates for the approximate solutions of evolution equations obtained by the dual mixed method of finite elements in the spatial directions for three types of problems: the first one concerns the Cauchy problem for the heat diffusion equation; the…

Mathématiques [math]. Université de Valenciennes et du Hainaut-Cambresis, 2007. Français. ⟨NNT : ⟩. ⟨tel-00194195⟩

• Article dans une revue

Biological and physico-chemical assessment of hydroxyapatite (HA) with different porosity

Jean-Christophe Hornez, F Chai, F Monchau, N Blanchemain, Michel Descamps, H F Hildebrand

HA with specific internal porosities was loaded with different antibiotics (ATBs) and then tested on its microbiological effectiveness. The HA purity was controlled with X-ray diffraction, IR and Raman spectrometry. Varying the sintering temperature and/or adding graphite and PMMA as porogenous…

Biomolecular Engineering, 2007, 24, pp.505 - 509. ⟨10.1016/j.bioeng.2007.08.015⟩. ⟨hal-03280931⟩

• Article dans une revue

Manufacture of macroporous β-tricalcium phosphate bioceramics

Michel Descamps, T Duhoo, F Monchau, J Lu, P Hardouin, Jean-Christophe Hornez, Anne Leriche

␤-Tricalcium phosphate (␤-TCP) macroporous ceramics were produced by a new manufacturing procedure. An organic skeleton constituted of polymethylmethacrylate balls (PMMA) is carried by a chemical forming treatment. This treatment consists to establish a connection between PMMA balls by a chemical…

Journal of the European Ceramic Society, 2007, 28, pp.149 - 157. ⟨10.1016/j.jeurceramsoc.2007.05.025⟩. ⟨hal-03280924⟩

• Article dans une revue

In vitro culture of large bone substitutes in a new bioreactor: importance of the flow direction

V Olivier, Ph Hivart, Michel Descamps, Pierre Hardouin

New biomaterials combined with osteogenic cells are now being developed as an alternative to autogeneous bone grafts when the skeletal defect reaches a critical size. Yet, the size issue appears to be a key obstacle in the development of bone tissue engineering. Bioreactors are needed to allow the…

Biomedical Materials, 2007, 2 (3), pp.174-180. ⟨10.1088/1748-6041/2/3/002⟩. ⟨hal-04310090⟩

• Communication dans un congrès

Bismuth lead oxyfluroride ionic glass conductors

Claudine Follet-Houttemane, Michel Drache, Pierre Conflant

Many works were published on anion conductors by ions O2 -, with good conductivities at 500-600°C. Oxyfluorides, conductors by ions F-, have the same level of performances around 300°C. For example, the oxyfluoride system containing bismuth and lead led to a crystallized phase having a conductivity…

Congrès SFC07, Jul 2007, Paris, France. ⟨hal-00169925⟩

• 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

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⟩