Publications

• Article dans une revue

Sweeping process by prox-regular sets in Riemannian Hilbert manifolds

Frédéric Bernicot, Juliette Venel

In this paper, we deal with sweeping processes on (possibly infinite-dimensional) Riemannian Hilbert manifolds. We extend the useful notions (proximal normal cone, prox-regularity) already defined in the setting of a Hilbert space to the framework of such manifolds. Especially we introduce the…

Journal of Differential Equations, 2015, 259 (8), pp.4086-4121. ⟨10.1016/j.jde.2015.05.011⟩. ⟨hal-01110480⟩

• Article dans une revue

A mixed DG method for folded Naghdi's shell in Cartesian coordinates, Une méthode de Galerkin discontinue mixte pour une coque de Naghdi pliée en coordonnées cartésiennes

Serge Nicaise, Ismail Merabet

In this Note, a mixed formulation is proposed to solve Naghdi's equations for a thin linearly elastic shell. The unknowns of the problem are the displacement of the points of the middle surface, the rotation field of the normal vector to the middle surface of the shell and a Lagrange…, Dans cette Note, nous proposons une méthode mixte pour résoudre les équations du modèle de Naghdi de coques linéairement élastiques. Les inconnues du problème sont le déplacement des points de la surface moyenne, le vecteur de rotation de la normale à la surface moyenne et un multiplicateur de…

Comptes rendus hebdomadaires des séances de l’Académie des sciences. Série A, Sciences mathématiques, 2015, 353 (7), pp.653-658. ⟨10.1016/j.crma.2015.04.016⟩. ⟨hal-03158912⟩

• Article dans une revue

Microwave sintering of Ge-doped In2O3 thermoelectric ceramics prepared by slip casting process

E. Combe, E. Guilmeau, Etienne Savary, S. Marinel, R. Cloots, R. Funahashi, F. Boschini

Ge doped In2O3 bulks were prepared by dry uniaxial compaction or slip casting shaping methods followed by a conventional or microwave sintering. Density of slip casted Ge doped In2O3 samples after conventional sintering reaches bulk density close to the theoretical one thanks to an optimized…

Journal of the European Ceramic Society, 2015, 35 (1), pp.145-151. ⟨10.1016/j.jeurceramsoc.2014.08.012⟩. ⟨hal-02184171⟩

• Article dans une revue

Dispersive effects and high frequency behaviour for the Schr¨odinger equation in star-shaped networks

Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise

We prove the time decay estimates L1(R)→L∞(R), where R is an infinite star-shaped network, for the Schrödinger group eit(−d2dx2+V) for real-valued potentials V satisfying some regularity and decay assumptions. Further we show that the solution for initial conditions with a lower cutoff frequency…

Portugaliae Mathematica, 2015, 72 (4), pp.309-355. ⟨10.4171/PM/1970⟩. ⟨hal-03138323⟩

• Article dans une revue

Approximation of the two-dimensional Dirichlet problem by continuous and discrete problems on one-dimensional networks

Maryse Bourlard-Jospin, Serge Nicaise, Juliette Venel

We show that the solution of the two-dimensional Dirichlet problem set in a plane domain is the limit of the solutions of similar problems set on a sequence of one-dimensional networks as their size goes to zero. Roughly speaking this means that a membrane can be seen as the limit of rackets made…

Confluentes Mathematici, 2015, 7 (1), pp.13-33. ⟨10.5802/cml.16⟩. ⟨hal-03135676⟩

• Proceedings/Recueil des communications

Analysis and geometry

Ali Baklouti, Aziz El Kacimi Alaoui, Sadok Kallel, Nordine Mir

MIMS-GGTM (Tunis ; 2014), Mar 2014, Tunis, Tunisia. 127, Springer, pp.VIII-266, 2015, Springer proceedings in mathematics & statistics, 978-3-319-17442-6. ⟨hal-03234788⟩

• Communication dans un congrès

Thick mesh reconstruction from scattered cloud

Thierry Bay, R. Raffin

International Conference on Computer Graphics, Visualization, Computer Vision and Image Processing, 2015, Las Palmas de Gran Canarias, Spain. pp.187-196. ⟨hal-03131117⟩

• Article dans une revue

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⟩

• Article dans une revue

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⟩

• Article dans une revue

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⟩