Publications

• ART

Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system

Emmanuel Creusé, Serge Nicaise, Zuqi Tang

This paper is devoted to the derivation of a Helmholtz decomposition of vector fields in the case of mixed boundary conditions imposed on the boundary of the domain. This particular decomposition allows to obtain a residual a posteriori error estimator for the approximation of magnetostatic…

Mathematical Methods in the Applied Sciences, 2015, 38 (4), pp.738-750. ⟨10.1002/mma.3104⟩. ⟨hal-00777690⟩

• ART

POLYNOMIAL FUNCTORS FROM ALGEBRAS OVER A SET-OPERAD AND NON-LINEAR MACKEY FUNCTORS

Manfred Hartl, Teimuraz Pirashvili, Christine Vespa

In this paper, we give a description of polynomial functors from ( finitely generated free) groups to abelian groups in terms of non-linear Mackey functors generalizing those given in a paper of Baues-Dreckmann-Franjou-Pirashvili published in 2001. This description is a consequence of our two main…

International Mathematics Research Notices, 2015. ⟨hal-00729071v2⟩

• ART

Residual a posteriori estimator for magnetoharmonic potential formulations with global quantities source terms

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

In the modeling of eddy current problems, potential formulations are widely used in recent days. In this paper, the results of residual-based a posteriori error estimators, which evaluate the discretization error in the finite-element computation, are extended to the case of several kinds of source…

IEEE Transactions on Magnetics, 2015, 51 (3), ⟨10.1109/TMAG.2014.2359770⟩. ⟨hal-01243666⟩

• ART

Damage Analysis of a Ferritic SiMo Ductile Cast Iron Submitted to Tension and Compression Loadings in Temperature

Isabel Hervas, Anthony Thuault, Eric Hug

Tensile and compression tests were carried out on a ductile cast iron for temperatures up to 1073 K. The damage caused inside and around graphite nodules was evaluated as a function of the local equivalent plastic strain by using microstructural quantifications. The mechanical properties are…

Metals, 2015, 5 (4), pp.19. ⟨10.3390/met5042351⟩. ⟨hal-01314023⟩

• THESE

Study of the stability of a certain systems of coupled wave equations and of the Rayleigh beam equation on bounded and unbounded domains, Étude de la stabilité de quelques systèmes d'équations des ondes couplées sur des domaines bornés et non bornés

Maya Bassam

The thesis is driven mainly on indirect stabilization system of two coupled wave equations and the boundary stabilization of Rayleigh beam equation. In the case of stabilization of a coupled wave equations, the Control is introduced into the system directly on the edge of the field of a single…, La thèse est portée essentiellement sur la stabilisation indirecte d’un système de deux équations des ondes couplées et sur la stabilisation frontière de poutre de Rayleigh.Dans le cas de la stabilisation d’un système d’équations d’onde couplées, le contrôle est introduit dans le système…

General Mathematics [math.GM]. Université de Valenciennes et du Hainaut-Cambresis; Université Libanaise, 2014. English. ⟨NNT : 2014VALE0034⟩. ⟨tel-01171615⟩

• ART

Ferroelectrics, piezoelectric, and Impedance spectroscopy characterizations of CuO doped (Na_0.52K_0.44)(Nb_0.9Sb_0.06)O₃–0.04LiTaO₃ lead free ceramics

M. Saidi, K. Khalfaoui, Ahcène Chaouchi, Sophie d'Astorg, Mohamed Rguiti, Christian Courtois

CuO was used to reduce the sintering temperature of (Na0.52 K0.44)(Nb0.9 Sb0.06)O3 –0.04LiTaO3 (NKNSLT) piezoelectric ceramics. XRD analysis reveals the formation of single phase perovskite structure. SEM has been used to investigate the grain morphology of the material. Impedance plots have been…

• COMM

Derivatives in Noncommutative calculus and deformation property of quantum algebras.

Dimitri Gurevich

The aim of my talk is twofold. First, I introduce analogs of (partial) derivatives on certain Noncommutative algebras, including some enveloping algebras and their ”braided versions”. Second, I discuss deformation property of some quantum algebras and show that contrary to a commonly held view the…

Algebra, Deformations and Quantum groups Conference, Dec 2014, Marseille, France. ⟨hal-03155761⟩

• ART

Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions

David Arcoya, Colette De Coster, Louis Jeanjean, Kazunaga Tanaka

In this note we present some uniqueness and comparison results for a class of problem of the form (0.1) −Lu = H(x, u, ∇u) + h(x), u ∈ H1 0 (Ω) ∩ L∞(Ω), where Ω ⊂ R N , N ≥ 2 is a bounded domain, L is a general elliptic second order linear operator with bounded coefficients and H is allowed to have…

Journal of Mathematical Analysis and Applications, 2014, 420 (1), pp.772-780. ⟨10.1016/j.jmaa.2014.06.007⟩. ⟨hal-03138844⟩

• ART

Stability analysis of a class of switched linear systems on non-uniform time domains

Fatima Zohra Taousser, Michael Defoort, Mohamed Djemai

This paper deals with the stability analysis of a class of switched linear systems on non-uniform time domains. The considered class consists of a set of linear continuous-time and linear discrete-time subsystems. First, some conditions are derived to guarantee the exponential stability of this…

Systems & Control Letters, 2014, 74, pp.24-31. ⟨10.1016/j.sysconle.2014.09.012⟩. ⟨hal-03184540⟩

• COMM

Elaboration et caractérisation de composites piézoélectriques PU/PZT pour la récupération de l'énergie électrique à partir de vibrations mécaniques

Christian Courtois, Rafatou Takpara

3ème Rencontre Industrie-Recherche ‘Les céramiques techniques dans les applications électroniques’, Nov 2014, Vallauris Golfe-Juan, France. ⟨hal-03639123⟩