Publications

• Article dans une revue

Source identification for the wave equation on graphs, Identification de sources pour l'équation des ondes sur des graphes

Sergei Avdonin, Serge Nicaise

We consider source identification problems for the wave equation on an interval and on trees. The main advantage of our approach is its locality. Our algorithm reduces essentially to the resolution of a linear integral Volterra equation of the second kind and is new even for an interval., Nous considérons un problème d'identification de sources pour l'équation des ondes sur un intervalle ou sur des arbres. L'avantage principal de notre approche est sa localité. Notre algorithme se réduit essentiellement à la résolution d'une équation intégrale de Volterra du…

Comptes Rendus de l'Académie des Sciences - Series III - Sciences de la Vie, 2014, 352 (11), pp.907-912. ⟨10.1016/j.crma.2014.09.008⟩. ⟨hal-03149902⟩

• Article dans une revue

Space-time residual-based a posteriori estimators for the A/Phi magneto dynamic formulation of the Maxwell system

Emmanuel Creusé, Serge Nicaise, Roberta Tittarelli

In this paper, an a posteriori residual error estimator is proposed for the A/Phi magnetodynamic Maxwell system given in its potential and space/time formulation and solved by a Finite Element method. The reliability as well as the e ciency of the estimator are established for several norms. Then,…

Computational Methods in Applied Mathematics, 2014, 14 (4), pp.429-460. ⟨10.1515/cmam-2014-0015⟩. ⟨hal-00921116⟩

• Communication dans un congrès

Développement de capteurs interdigités souples pour le contrôle de structures

Rafatou Takpara, Dame Fall, Marc Duquennoy, Christian Courtois, Mohamed Rguiti, Laurent Seronveaux, D. Monnoye, Gregory Martic, Véronique Lardot, M. Gonon, N. Maury, Christine Pelegris, M. Guessasma, N. Ferguen, E. Bellenger

12ème Congrès Français d'Acoustique, CFA 2014, 2014, Poitiers, France. Session APUS2-2 : Contrôles et essais non-destructifs II, papier CFA2014/327, 536-539. ⟨hal-00978411⟩

• Article dans une revue

Exponential stability of a network of serially connected Euler–Bernoulli beams

Denis Mercier, Virginie Régnier

The aim is to prove the exponential stability of a system modelling the vibrations of a network of N Euler–Bernoulli beams serially connected. Using a result given by K. Ammari and M. Tucsnak, the problem is reduced to the estimate of a transfer function and the obtention of an observability…

International Journal of Control, 2014, 87 (6), pp.1266-1281. ⟨10.1080/00207179.2013.874597⟩. ⟨hal-03163679⟩

• Ouvrages

Foliations

Masayuki Asaoka, Aziz El Kacimi Alaoui, Steven Hurder

Springer, pp.IX-198, 2014, 978-3-0348-0870-5. ⟨hal-03234747⟩

• Article dans une revue

Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation

Lucia Romani, Laura Saini, Gudrun Albrecht

In this article we define a new class of Pythagorean-Hodograph curves built-upon a six-dimensional mixed algebraic-trigonometric space, we show their fundamental properties and compare them with their well-known quintic polynomial counterpart. A complex representation for these curves is introduced…

Advances in Computational Mathematics, 2014, 40 (5-6), pp.977-1010. ⟨10.1007/s10444-013-9338-8⟩. ⟨hal-03151851⟩

• Article dans une revue

Weakly locally thermal stabilization of Bresse systems

Nadine Najdi, Ali Wehbe

Fatori and Rivera [7] studied the stability of the Bresse system with one distributed temperature dissipation law operating on the angle displacement equation. They proved that, in general, the energy of the system does not decay exponentially and they established the rate of t-1/3. In this article…

Electronic Journal of Differential Equations, 2014, 2014 (182), pp.1-19. ⟨hal-03163821⟩

• Article dans une revue

Decomposable affine hypersurfaces

Miroslava Antić, Franki Dillen, Kristof Schoels, Luc Vrancken

In affine differential geometry, Calabi discovered how to associate a new hyperbolic affine hypersphere with two hyperbolic affine hyperspheres. This was later generalized by Dillen and Vrancken in order to obtain a large class of examples of equiaffine homogeneous affine hypersurfaces. Note that…

Kyushu Journal of Mathematics, 2014, 68 (1), pp.93-103. ⟨hal-03228108⟩

• Ouvrages

Elaboration of a new generation of photocatalytic inorganic coatings with controlled porosity", 14th European Inter-regional Conference on Ceramics, Stuttgart, Germany, September 8-10, 2014 in CIEC 14 Conference Proceedings: Proceedings of the 14th European Inter-Regional Conference on Ceramics, Vol. 62, pp. 1-7 by R. Gadow and F. Kerm (Editors)

Philippe Champagne, Mélanie Wynn, Samuel Bernard, Philippe Miele, Anne Leriche

2014. ⟨hal-02869789⟩

• Article dans une revue

Weighted analytic regularity in polyhedra

Martin Costabel, Monique Dauge, Serge Nicaise

We explain a simple strategy to establish analytic regularity for solutions of second order linear elliptic boundary value problems. The abstract framework presented here helps to understand the proof of analytic regularity in polyhedral domains given in "http://hal.archives-ouvertes.fr/hal-…

Computers & Mathematics with Applications, 2014, 67 (4), pp.807-817. ⟨10.1016/j.camwa.2013.03.006⟩. ⟨hal-00735620v2⟩