Publications

• Communication dans un congrès

EXAMPLE BASED LEARNING FOR VIRTUAL PROTOTYPING ENGINEERING

Jean-Paul Becar, Mariana Fratu, Aurel Fratu, Jean-Charles Canonne

The paper deals with a method used many years for example based learning for the virtual prototyping. The authors collaborate since ten years in Erasmus background. It means four french students a year in the bachelor of technology course got a three months placement in Romania supervised by the…

EDULEARN14, iated, Jul 2014, BARCELONE, Spain. ⟨hal-02516035⟩

• Article dans une revue

Well-posedness and spectral properties of heat and wave equations with non-local conditions

Delio Mugnolo, Serge Nicaise

We consider the one-dimensional heat and wave equations but – instead of boundary conditions – we impose on the solution certain non-local, integral constraints. An appropriate Hilbert setting leads to an integration-by-parts formula in Sobolev spaces of negative order and eventually allows us to…

Journal of Differential Equations, 2014, 256 (7), pp.2115-2151. ⟨10.1016/j.jde.2013.12.016⟩. ⟨hal-03163703⟩

• 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⟩

• Article dans une revue

A coupled Maxwell integrodifferential model for magnetization processes

Serge Nicaise, Fredi Tröltzsch

A mathematical model for instationary magnetization processes is considered, where the underlying spatial domain includes electrically conducting and nonconducting regions. The model accounts for the magnetic induction law that couples the given electrical voltage with the induced electrical…

Mathematical News / Mathematische Nachrichten, 2014, 287 (4), pp.432-452. ⟨10.1002/mana.201200206⟩. ⟨hal-03166126⟩

• 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

Cohomological equations and invariant distributions on a compact Lie group

Aziz El Kacimi Alaoui, Hadda Hmili

This paper deals with two analytic questions on a connected compact Lie group G. i) Let a ε G and denote by γ the diffeomorphism of G given by γ (x) = ax (left translation by a). We give necessary and sufficient conditions for the existence of solutions of the cohomological equation f - fo γ = g on…

Hokkaido Mathematical Journal, 2014, 43 (2), pp.151-173. ⟨10.14492/hokmj/1404229920⟩. ⟨hal-03164536⟩

• Article dans une revue

On Steinitz classes of nonabelian Galois extensions and p-ary cyclic Hamming codes

Maya Farhat, Bouchaïb Sodaïgui

Let k be a number field and Cl(k) its class group. Let Γ be a finite group. Let Rt(k,Γ) be the subset of Cl(k) consisting of those classes which are realizable as Steinitz classes of tamely ramified Galois extensions of k with Galois group isomorphic to Γ. Let p be a prime number. In the present…

Journal of Number Theory, 2014, 134, pp.93-108. ⟨10.1016/j.jnt.2013.07.003⟩. ⟨hal-03149645⟩

• Chapitre d'ouvrage

Refined Mixed finite element method for the Laplace equation in a nonconvex polygonal domain

Luc Paquet

Introduction à quelques problèmes d’EDP : notes du groupe de travail de l’équipe EDP du Laboratoire de Mathématiques et leurs Applications de Valenciennes, Ed. Universitaires Européennes, pp.125-154, 2014, 9786131506833. ⟨hal-03142466⟩

• Chapitre d'ouvrage

Existence, stability and controllability results for the heteregeneous Maxwell equations

Serge Nicaise

Introduction à quelques problèmes d’EDP : notes du groupe de travail de l’équipe EDP du Laboratoire de Mathématiques et leurs Applications de Valenciennes, Ed. Universitaires Européennes, pp.85-124, 2014, 9786131506833. ⟨hal-03142464⟩

• Chapitre d'ouvrage

Problèmes d’évolution sur des multi-structures

Abderrahman Maghnouji

Introduction à quelques problèmes d’EDP : notes du groupe de travail de l’équipe EDP du Laboratoire de Mathématiques et leurs Applications de Valenciennes, Ed. Universitaires Européennes, pp.43-84, 2014, 9786131506833. ⟨hal-03142458⟩