Publicaciones

• ART

A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods

Emmanuel Creusé, Serge Nicaise

We consider some (anisotropic and piecewise constant) convection-diffusion-reaction problems in domains of R2, approximated by a discontinuous Galerkin method with polynomials of any degree. We propose two a posteriori error estimators based on gradient recovery by averaging. It is shown that these...

IMA Journal of Numerical Analysis, 2013, 33 (1), pp.212-241. ⟨10.1093/imanum/drr052⟩. ⟨hal-00531621⟩

• ART

Optimal stopping and stochastic control differential games for jump diffusions

Fouzia Baghery, Sven Haadem, Bernt Oksendal, Isabelle Turpin

We study stochastic differential games of jump diffusions driven by Brownian motions and compensated Poisson random measures, where one of the players can choose the stochastic control and the other player can decide when to stop the system. We prove a verification theorem for such games in terms...

Stochastics: An International Journal of Probability and Stochastic Processes, 2013, 85 (1), pp.85-97. ⟨10.1080/17442508.2011.652116⟩. ⟨hal-03149926⟩

• ART

Robustness study and reliability growth based on exploratory design of experiments and statistical analysis: a case study using a train door test bench

Laurent Cauffriez, Pierre Loslever, Nathalie Caouder, Fabien Turgis, Reynald Copin

This paper presents a methodology to improve the reliability/robustness of a complex mechatronic system for passenger access, which is greatly stressed over its life cycle. The proposed methodology aims to weed out design problems during the development phase and to test the robustness of the...

International Journal of Advanced Manufacturing Technology, 2013, 66 (1-4), pp.27-44. ⟨10.1007/s00170-012-4303-0⟩. ⟨hal-03135718⟩

• ART

Exponential stability of the wave equation on a star shaped network with indefinite sign damping

Farah Abdallah, Denis Mercier, Serge Nicaise

In this paper, we study the stability of the wave equation on a star shaped network in the presence of indefinite sign damping terms. Extending the results of Freitas and Zuazua in [13], we search for sufficient conditions on the damping coefficients for which the problem becomes exponentially...

Palest. J. Math, 2013, 2 (2), pp.113-143. ⟨hal-03134884⟩

• COMM

Pyroelectric power harvesting using a lead-lanthanum-zirconate-titanate (7/60/40 PLZT) pyroelectric cell

Mounir Amokrane, Arnaud Baysse, Bertrand Nogarede, Mohamed Rguiti

The aim of this work is to study the ability of harvesting energy using a lead-Ianthanum-zirconate-titanate (7/60/40 PLZT) pyroelectric cell. For this purpose, the active element is subjected to temperature variations. The pyroelectric cell is directly connected to a load to realize a resistive...

ECMSM 2013 : IEEE 11th International Workshop of Electronics, Control, Measurement, Signals and their application to Mechatronics, Toulouse, France,, 2013, Toulouse, France. ⟨10.1109/ECMSM.2013.6648972⟩. ⟨hal-04134000⟩

• ART

Robust residual a posteriori error estimators for the Reissner-Mindlin eigenvalues system

Emmanuel Creusé, Serge Nicaise, Emmanuel Verhille

We consider a conforming finite element approximation of the Reissner-Mindlin eigenvalue system, for which a robust a posteriori error estimator for the eigenvector and the eigenvalue errors is proposed. For that purpose, we first perform a robust a priori error analysis without strong regularity...

Journal of Numerical Mathematics, 2013, 21 (2), pp.89-134. ⟨10.1515/jnum-2013-0004⟩. ⟨hal-00777682v2⟩

• ART

A Resonant-Superlinear Elliptic Problem Revisited

Mabel Cuesta, Colette De Coster

We consider the resonant-superlinear elliptic problem−∆u=λ1u+(u+)q+f(x), withDirichlet boundary conditions on a bounded regular domain ofRN. We assume that 1<q<N+1N−1,f∈Ls(Ω) withs>Nsatisfies∫Ωfφ1<0 and (λ1,φ1) is the first eigenpair of−∆onH10(Ω). We apply a non-well ordered lower and...

Advanced Nonlinear Studies, 2013, 13 (1), pp.97-114. ⟨10.1515/ans-2013-0106⟩. ⟨hal-03137546⟩

• COMM

Plateforme automobile à autonomie augmentée et pilotée sous Zig-Bee

Fabrice Robert, Jean-Paul Becar, Franck Dardy

Le présent papier présente une maquette pédagogique de plateforme automobile pilotée par un système sans fil et assu-rant son autonomie énergétique. C’est précisément l’autonomie énergétique des robots explorateurs sur Mars qui a nour-ri à la fois les questionnements d’étudiants et les idées des...

CETSIS 2013, Mar 2013, CAEN, France. ⟨hal-02521109⟩

• ART

Time-domain study of the Drude–Born–Fedorov model for a class of heterogeneous chiral materials

Serge Nicaise

We deal with the well-posedness of the transient Maxwell equations in a particular class of heterogeneous isotropic chiral material modeled by the Drude-Born-Fedorov constitutive relations with different boundary conditions. A new formulation of the underlying evolution problems allows us to...

Mathematical Methods in the Applied Sciences, 2013, 36 (7), pp.794-813. ⟨10.1002/mma.2627⟩. ⟨hal-03163846⟩

• COMM

Épistémologie et Histoire des Mathématiques : architecture d’une réforme, les mathématiques modernes dans la seconde moitié du XXème siècle

Arnaud Carsalade, Francois Goichot, Anne-Marie Marmier