Publications

• Pré-publication, Document de travail

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

Three-Dimensional Minimal CR Submanifolds of the Sphere S 6 (1) Contained in a Hyperplane

Miroslava Antić, Luc Vrancken

It is well known that the sphere S6(1) admits an almost complex structure J, constructed using the Cayley algebra, which is nearly Kähler. Let M be a Riemannian submanifold of a manifold (Formula Presented.) with an almost complex structure J. It is called a CR submanifold in the sense of Bejancu (…

Mediterranean Journal of Mathematics, 2015, 12 (4), pp.1429-1449. ⟨10.1007/s00009-015-0530-6⟩. ⟨hal-03233786⟩

• Article dans une revue

The multidimensional wave equation with generalized acoustic boundary conditions I: Strong stability

Zainab 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 asymptotic stability and nonuniform stability of the associated semigroup.

SIAM Journal on Control and Optimization, 2015, 53 (4), pp.2558-2581. ⟨10.1137/140971336⟩. ⟨hal-03134826⟩

• 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

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⟩

• 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

Characterization of the generalized Calabi composition of affine hyperspheres

M. Antic, Z. Hu, C. C. Li, Luc Vrancken

In this paper, continuing with Hu-Li-Vrancken and the recent work of Antie-Dillen-Schoels Vrancken, we obtain a decomposition theorem which settled the problem of how to determine whether a given locally strongly convex affine hypersurface can be decomposed as a generalized Calabi composition of…

Acta Mathematicae Applicatae Sinica, 2015, 31 (10), pp.1531-1554. ⟨10.1007/s10114-015-4431-1⟩. ⟨hal-03233620⟩

• Ouvrages

Stabilization of elastic systems by collocated feedback

Kaïs Ammari, Serge Nicaise

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