Publicaciones

• 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

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

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

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

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

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

Investigation of the internal structure of flax fibre cell walls by transmission electron microscopy

Anthony Thuault, Bernadette Domengès, Isabelle Hervas, Moussa Gomina

The development of the use of flax fibre as reinforcement of eco-friendly composite materials requires a good knowledge of its hydrothermal and mechanical behaviours. To this end the fibre internal structure must be finely investigated. Transmission electron microscopy was used to analyse the...

Cellulose, 2015, 22 (6), pp.3521-3530. ⟨10.1007/s10570-015-0744-6⟩. ⟨hal-02184130⟩

• Communication dans un congrès

THREE EXPERIMENTS OF LEARNING BY EXAMPLES

Jean-Paul Becar, Jean-Charles Canonne, Eric Cartignies, Mariana Fratu, Aurel Fratu, Marcin Iwanowski, Witold Czajewski

International Technology, Education and Development Conference 2015, IATED, 2015, MADRID, Spain. ⟨hal-02513164⟩

• Communication dans un congrès

Points massiques, espace des sphères et « hyperbole »

Lionel Garnier, Lucie Druoton, Jean-Paul Becar

Les courbes de Bézier quadratiques à points pondérés de contrôle jouent un rôle fondamental pour la modéli-sation d'arcs bornés de coniques. L'utilisation de points massiques permet de modéliser aussi bien des arcs de coniques non bornés que des branches d'hyperboles dans le plan..., The use of massic points permits to define a branch of a hyperbola in the Euclidean plane using a Rational Quadratic Bézier Curve. In the space of spheres, a circular cone, a circular cylinder, a torus, a pencil of spheres or a Dupin cyclide is represented by a conic. If the kind of the pencil is...

Journées du Groupe de Travail en Modélisation Géométrique 2015, 2015, POITIERS, France. ⟨hal-02513124⟩

• Article dans une revue

The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions II: Polynomial Stability

Z. Abbas, Serge Nicaise

We study the wave equation on a domain of ℝd, d ≥ 2, with dynamical boundary control applied on a part of the boundary and a Dirichlet boundary condition on the remaining part. We prove the polynomial stability of our model by two different methods: the resolvent and multiplier methods. Some...

SIAM Journal on Control and Optimization, 2015, 53 (4), pp.2582-2607. ⟨10.1137/140971348⟩. ⟨hal-03134838⟩