Publicaciones

• 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

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

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

Almost complex surfaces in the nearly Kähler S3 X S3

John Bolton, Franki Dillen, Bart Dioos, Luc Vrancken

In this paper we initiate the study of almost complex surfaces in the nearly Kähler S3×S3. We show that on such a surface it is possible to define a global holomorphic differential, which is induced by an almost product structure on the nearly Kähler S3×S3. We also find a local correspondence...

Tohoku mathematical journal, 2015, 67, pp.1-17. ⟨10.2748/tmj/1429549576⟩. ⟨hal-03233846⟩

• Article dans une revue

A posteriori error estimates of the stabilized Crouzeix-Raviart finite element method for the Lamé-Navier equations

Emmanuel Creusé, Mohamed Farhloul, Serge Nicaise, Luc Paquet

We obtain a posteriori error estimates for a variant of (non-locking) stabilized non-conforming methods based on the Crouzeix-Raviart element introduced by P. Hansbo and M.G. Larson in [M2AN 37 (2003) 63-72]. We derive upper and lower a posteriori error bounds which are robust with respect to the...

Far East Journal of Mathematical Sciences, 2015, 96 (2), pp.167-192. ⟨10.17654/FJMSJan2015_167_192⟩. ⟨hal-00777678⟩

• Article dans une revue

A posteriori residual error estimators with mixed boundary conditions for quasi-static electromagnetic problems

Zuqi Tang, Y. Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou, Nicolas Nemitz

The purpose of this paper is to propose some a posteriori residual error estimators (REEs)to evaluate the accuracy of the finite element method for quasi-static electromagnetic problems with mixed boundary conditions. Both classical magnetodynamic A-ϕ and T-Ω formulations in harmonic case are...

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2015, 34 (3), pp.724-739. ⟨10.1108/COMPEL-10-2014-0256⟩. ⟨hal-01243637⟩

• Communication dans un congrès

A ROBOTICS EXPERIENCE WITH MOOC

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

Since a couple of decades, authors are running towards the vanishing student motivations. They have applied a large amount of teaching tools or methods as the slide rule, overhead projector, programmable calculator, software, internet, moodle and supervised projects. Project based learning is one...

ICERI 2015, Nov 2015, SEVILLE, Spain. ⟨hal-02513151⟩

• Article dans une revue

Stabilization and asymptotic behavior of a generalized telegraph equation

Serge Nicaise

We analyze the stability of different models of the telegraph equation set in a real interval. They correspond to the coupling between a first-order hyperbolic system and a first-order differential equation of parabolic type. We show that some models have an exponential decay rate, while other ones...

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2015, 66 (6), pp.3221-3247. ⟨10.1007/s00033-015-0568-0⟩. ⟨hal-03151992⟩

• Ouvrages

Stabilization of elastic systems by collocated feedback

Kaïs Ammari, Serge Nicaise

Springer Verlag, 2124, 178 p., 2015, Lecture Notes in Mathematics. ⟨hal-03227597⟩