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Article dans une revue

Residual and Equilibrated Error Estimators for Magnetostatic Problems Solved by Finite Element Method

Zuqi Tang, Yvonnick Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou, Nicolas Nemitz

In finite element computations, the choice of the mesh is crucial to obtain accurate solutions. In order to evaluate the quality of the mesh, a posteriori error estimators can be used. In this paper, we develop residual-based error estimators for magnetostatic problems with both classical…

IEEE Transactions on Magnetics, 2013, 49 (12), pp.5715-5723. ⟨10.1109/TMAG.2013.2271993⟩. ⟨hal-00910314⟩

Article dans une revue

Lower and upper solutions for the heat equation on a polygonal domain of R2

Colette De Coster, Serge Nicaise

We consider the nonlinear periodic-Dirichlet heat equation on a polygonal domain of the plane in weighted Lp-Sobolev spaces equation presented Here f is Lp(0; T;Lpμ(Ω)-Caratheodory, where L pμ(Ω) = {v ε Lploc(Ω) : rμv ε Lp(Ω)}, with a real parameter μ and r(x) the distance from x to the set of…

Differential and integral equations, 2013, 26 (5/6), pp.603-622. ⟨hal-03137717⟩

Communication dans un congrès

A MULTIDISCIPLINARY CLIENT-SERVER PLATFORM

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

The academic syllabus of the Electrical Enginering and industrial data processing taught inside the french Institutes of Technology offers a course called Industrial Ethernet and remote control with the internet. The aim of this module consists in making students more sensitive to the use of…

International Conference on Education, IADAT e2013, Jul 2013, BILBAO, Spain. ⟨hal-02521176⟩

Article dans une revue

Reducing crosstalk in array structures by controlling the excitation voltage of individual elements : a feasibility study

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

This paper describes a procedure to minimize crosstalk between the individual elements of a piezoelectric transducer array. A two-dimensional finite elements model was developed and the excitation voltages predicted by the model were applied to the array prototypes made of PZT 27 ceramic. Symmetric…

Ultrasonics, 2013, 53 (6), pp.1135-1140. ⟨10.1016/j.ultras.2013.02.009⟩. ⟨hal-00823966⟩

Article dans une revue

Residual-based a posteriori estimators for the T/Omega magnetodynamic harmonic formulation of the Maxwell system

Emmanuel Creusé, Serge Nicaise, Zuqi Tang, Yvonnick Le Menach, Nicolas Nemitz, Francis Piriou

In this paper, we focus on an a posteriori residual-based error estimator for the T/Omega magnetodynamic harmonic formulation of the Maxwell system. Similarly to the A/Phi formulation, the weak continuous and discrete formulations are established, and the well-posedness of both of them is addressed…

International Journal of Numerical Analysis and Modeling, 2013, 10 (2), pp.411-429. ⟨10.1142/S021820251150028X⟩. ⟨hal-00777601⟩

Communication dans un congrès

Frittage micro-ondes en cavité monomode de biocéramiques

Etienne Savary, Anthony Thuault, Jean-Christophe Hornez, Michel Descamps, Sylvain Marinel, Anne Leriche

Le but premier de cette étude est de montrer la faisabilité du frittage direct en cavité micro-ondes monomode de deux biomatériaux céramiques : l'hydroxyapatite et le phosphate tri-calcique. Ainsi, cette étude montre que ce procédé a permis d'obtenir, en des temps très courts, inférieurs…, The main purpose of this study consists in investigating the direct microwaves sintering in a single mode cavity of two bioceramics: hydroxyapatite and tri-calcium phosphate. Thus, dense samples presenting fine microstructures are successfully obtained in less than 20 minutes of irradiation. The…

Journées Annuelles de la SF2M 2013 / SF2M Annual Meeting 2013, Oct 2013, Villeneuve d'Ascq, France. pp.04017, ⟨10.1051/matecconf/20130704017⟩. ⟨hal-02450325⟩

Article dans une revue

Mechanical Properties of Porosity-Free Beta Tricalcium Phosphate (<i>β</i>-TCP) Ceramic by Sharp and Spherical Indentations

Didier Chicot, Arnaud Tricoteaux, J. Lesage, Anne Leriche, Michel Descamps, E. Rguiti-Constantin

Instrumented indentation has been developed for determining the mechanical properties of materials but an accurate determination of these properties requires attention on contact stiffness analysis, indentation size effect, elastic modulus mode of calculation, role of stress distribution around the…

New Journal of Glass and Ceramics, 2013, 03 (01), pp.16-28. ⟨10.4236/njgc.2013.31004⟩. ⟨hal-03586273⟩

Article dans une revue

On the asymptotic behavior of transmission thin shell problems

Ismail Merabet, Serge Nicaise, D.A. Chacha

In this paper we study the asymptotic behavior of two-dimensional transmission problems for the linear Koiter model of an elastic multi-structure composed of two thin shells with the same thickness ε<<1. Contrary to the case of membrane shells, the formal limit problem, i.e., for ε=0, fails…

Asymptotic Analysis, 2013, 82 (1-2), p. 163-185. ⟨10.3233/ASY-121144⟩. ⟨hal-03163628⟩

Article dans une revue

Realizable Galois module classes over the group ring for non abelian extensions, Classes galoisiennes réalisables sur l’anneau de groupe d’extensions non abéliennes

Nigel Byott, Bouchaïb Sodaïgui

Given an algebraic number field k and a finite group T, we write R(Ok[T]) for the subset of the locally free classgroup Cl(Ok[T]) consisting of the classes of rings of integers ON in tame Galois extensions N/k with Gal(N/k) T = T. We determine R(Ok[T]), and show it is a subgroup of Cl(Ok[T]) by…

Annales de l'Institut Fourier, 2013, 63 (1), p. 303-371. ⟨10.5802/aif.2762⟩. ⟨hal-03165412⟩

Article dans une revue

Stabilization by switching time–delay

Kaïs Ammari, Serge Nicaise, Cristina Pignotti

In this paper we consider some stabilization problems for the wave equation with switching time-delay. We prove exponential stability results for appropriate damping coefficients. The proof of the main results is based on D'Alembert formula, observability inequality and some energy estimates.…

Asymptotic Analysis, 2013, 83 (3), pp.263-283. ⟨10.3233/ASY-131163⟩. ⟨hal-03138782⟩