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SPECTRAL ANALYSIS OF THE SCHRÖDINGER OPERATOR ON BINARY TREE-SHAPED NETWORKS AND APPLICATIONS

Kaïs Ammari, Denis Mercier, Virginie Régnier

In this paper we analyse the spectrum of the dissipative Schrödinger operator on binary tree-shaped net-works. As applications, we study the stability of the Schrödinger system using a Riesz basis as well as the transfer function associated to the system.

2015. ⟨hal-01109134⟩

Article dans une revue

Analysis of eddy current formulations in two-dimensional domains with cracks

Stéphanie Lohrengel, Serge Nicaise

In this paper, the eddy current problem in a two-dimensional conductor containing a crack is studied. The decomposition of the electric field into a piecewise regular part and a singular part deriving from scalar potentials localized at the crack tip and at the crack mouth is proved. At the crack…

ESAIM: Mathematical Modelling and Numerical Analysis, 2015, 49 (1), pp.141-170. ⟨10.1051/m2an/2014027⟩. ⟨hal-01888364⟩

Article dans une revue

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⟩

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

Sequences of harmonic maps in the 3-sphere

Bart Dioos, Joeri van Der Veken, Luc Vrancken

We define two transforms of non-conformal harmonic maps from a surface into the 3-sphere. With these transforms one can construct, from one such harmonic map, a sequence of harmonic maps. We show that there is a correspondence between harmonic maps into the 3-sphere, H-surfaces in Euclidean 3-space…

Mathematical News / Mathematische Nachrichten, 2015, 288 (17-18), pp.2001-2015. ⟨10.1002/mana.201400271⟩. ⟨hal-03148557⟩

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⟩

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

Développement de capteurs interdigités pour le contrôle de structures

Rafatou Takpara, Dame Fall, Marc Duquennoy, Mohammadi Ouaftouh, Christian Courtois, Mohamed Rguiti, M. Gonon, N. Maurye, Gregory Martic, Véronique Lardot, Laurent Seronveaux, J. Halleux, Christine Pelegris, Mohamed Guessasma

Ce travail porte sur la réalisation de capteurs interdigités (IDT) afin de caractériser la qualité des revêtements et les surfaces des structures. L’enjeu de cette étude est triple. Il s'agit premièrement de disposer de capteurs efficaces pour générer des ondes acoustiques de surface SAW (…

Lebanese Science Journal, 2015, 16 (Special), pp.69-80. ⟨hal-03116778⟩

Communication dans un congrès

Céramiques thermomécaniques

Jean Denape, Anne Leriche

Présentation générale sur le comportement mécanique des céramiques et les domaines d'applications des céramiques thermomécaniques détaillant : comportement mécanique : élastique linéaire fragile ; la fragilité : origine physique et conséquences ; critère de fragilité : la ténacité ; critère de…

Ecole "Céramiques Techniques" du Groupe Français de la Céramique, Oct 2015, Porquerolles (Var), France. ⟨hal-04432573⟩

Article dans une revue

Noncommutative geometry and dynamical models on U(u(2)) background

Dimitri Gurevich, Pavel Saponov

In our previous publications we have introduced a differential calculus on the algebra U(gl(m)) based on a new form of the Leibniz rule which differs from that usually employed in Noncommutative Geometry. This differential calculus includes partial derivatives in generators of the algebra U(gl(m))…

Journal of Generalized Lie Theory and Applications, 2015, 09 (01), ⟨10.4172/1736-4337.1000215⟩. ⟨hal-03164898⟩