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Article dans une revue

Fast Spectral Galerkin Method for Logarithmic Singular Equations on a Segment

Carlos F. Jerez-Hanckes, Serge Nicaise, Carolina Urzúa-Torres

We present a fast Galerkin spectral method to solve logarithmic singular equations on segments. The proposed method uses weighted first-kind Chebyshev polynomials. Convergence rates of several orders are obtained for fractional Sobolev spaces H −1/2 (or H −1/2 00). Main tools are the approximation…

Journal of Computational Mathematics -International Edition-, 2018, 36 (1), pp.128-158. ⟨10.4208/jcm.1612-m2016-0495⟩. ⟨hal-01956620⟩

Thèse

Élaboration d'une céramique dentaire par stéréolithographie, Development of a stereolithography-manufactured dental ceramic

Marion Dehurtevent

La stéréolithographie, technique additive de mise en forme couche par couche, permet de limiter les contraintes de l’usinage mais doit répondre aux exigences des normes dentaires en vigueur pour son utilisation clinique. L’effet de la formulation de différentes céramiques alumineuses mises en…, Stereolithography is a layer-by layer additive manufacturing method. It allows to reduce the strains that occur with milling methods. Its use for clinical purposes needs to follow dental material standards. The impact of slurry composition and the influence of layer orientation on mechanical and…

Matière Condensée [cond-mat]. Université de Valenciennes et du Hainaut-Cambrésis, 2017. Français. ⟨NNT : 2017VALE0036⟩. ⟨tel-03366023⟩

Article dans une revue

Spectral analysis of a generalized buckling problem on a ball

Colette de Coster, Serge Nicaise, Christophe Troestler

In this paper, the spectrum of the following fourth order problem Δ 2 u + νu = −λΔu in D 1 , u = ∂ r u = 0 o n∂ D 1 , where D 1 is the unit ball in R N , is determined for ν < 0 as well as the nodal properties of the corresponding eigenfunctions. In particular, we show that the first eigenvalue…

Positivity, 2017, 21 (4), pp.1319-1340. ⟨10.1007/s11117-017-0469-x⟩. ⟨hal-01956618⟩

Article dans une revue

Influence of post-HIP temperature on microstructural and optical properties of pure MgAl2O4 spinel

Caroline Gajdowski, Judith Böhmler, Yannick Lorgouilloux, Sébastien Lemonnier, Sophie d'Astorg, Elodie Barraud, Anne Leriche

Transparent MgAl2O4 spinel ceramics were processed from sub-micrometric commercial powder by applying a two-step procedure: pressureless sintering under vacuum followed by hot isostatic pressing. To limit grain growth and to avoid secondary reactions or impurities, no additives or sintering aids…

Journal of the European Ceramic Society, 2017, 37 (16), pp.5347-5351. ⟨10.1016/j.jeurceramsoc.2017.07.031⟩. ⟨hal-03080454⟩

Article dans une revue

Optimal control of some quasilinear Maxwell equations of parabolic type

Serge Nicaise, Fredi Tröltzsch

An optimal control problem is studied for a quasilinear Maxwell equation of nondegenerate parabolic type. Well-posedness of the quasilinear state equation, existence of an optimal control, and weak Gâteaux-different-iability of the control-to-state mapping are proved. Based on these results, first-…

Discrete and Continuous Dynamical Systems - Series S, 2017, 10 (6), pp.1375-1391. ⟨10.3934/dcdss.2017073⟩. ⟨hal-01956624⟩

Article dans une revue

Bio-inspired hydroxyapatite dual core-shell structure for bone substitutes

Shaan Chamary, D. Hautcoeur, Jean-Christophe Hornez, Anne Leriche, Francis Cambier

A variety of processing methods has been developed and optimized to generate porous bio-ceramic structures close to that of the natural bone. Two different ceramic processing techniques were combined in order to generate a bio-inspired structure similar, in terms of composition and architecture, to…

Journal of the European Ceramic Society, 2017, 37 (16), pp.5321-5327. ⟨10.1016/j.jeurceramsoc.2017.05.043⟩. ⟨hal-03079738⟩

Ouvrages

Mathématiques pour l'enseignement

Aziz El Kacimi Alaoui

L'essentiel du programme de l'unité d'enseignement de mathématiques du master 1 Métiers de l'enseignement, de l'éducation et de la formation (MEEF), avec de nombreux théorèmes démontrés et des exercices corrigés, préparant à la première épreuve du Capes de mathématiques.

Ellipses, 287 p., 2017, Références sciences, 9782340021556. ⟨hal-03149564⟩

Article dans une revue

Four-dimensional contact CR-submanifolds in S7(1)

Mirjana Djorić, Marian Ioan Munteanu, Luc Vrancken

The analogue of CR -submanifolds in (almost) Kählerian manifolds is the concept of contact CR -submanifolds in Sasakian manifolds. These are submanifolds for which the structure vector field ξ is tangent to the submanifold and for which the tangent bundle of M can be decomposed as T(M)=H(M)⊕E(M)⊕Rξ…

Mathematical News / Mathematische Nachrichten, 2017, 290 (16), pp.2585-2596. ⟨10.1002/mana.201600437⟩. ⟨hal-03148573⟩

Article dans une revue

From homotopy perturbation technique to reduced order model for multiparametric modal analysis of large finite element models

Franck Massa, Isabelle Massa-Turpin, Thierry Tison

The paper focuses on the definition of a reduced order model for linear modal analysis. The aim is to supply a suitable mathematical alternative tool compatible for multiparametric analysis of large finite element model considering numerous variable parameters, numerous mode shapes and significant…

Mechanical Systems and Signal Processing, 2017, 96, pp.291-302. ⟨10.1016/j.ymssp.2017.04.025⟩. ⟨hal-03359283⟩

Article dans une revue

A novel anatomical ceramic root canal simulator for endodontic training

Lieven Robberecht, F. Chai, Marion Dehurtevent, Pierre Marchandise, T. Bécavin, Jean-Christophe Hornez, Etienne Deveaux

Introduction Endodontic therapy is often complicated and technically demanding. The aim of this study was to develop a reproducible biomimetic root canal model for pre-clinical and postgraduate endodontic training. Material and Methods A specific ceramic shaping technique (3D printing and slip…

European Journal of Dental Education, 2017, 21 (4), pp.e1-e6. ⟨10.1111/eje.12207⟩. ⟨hal-03079712⟩