Publications

• Article dans une revue

Residual-based a posteriori estimators for the potential formulations of electrostatic and time-harmonic eddy current problems with voltage or current excitation

Chao Chen, Emmanuel Creusé, Serge Nicaise, Zuqi Tang

In this paper, we present some residual-based a posteriori estimators for the potential formulations of electrostatic and time-harmonic eddy current problems with voltage or current excitation. The reliability of the proposed estimators is proved and some numerical experiments are carried out to…

International Journal for Numerical Methods in Engineering, 2016, 107 (5), pp.377-394 ⟨10.1002/nme.5168⟩. ⟨hal-01390241⟩

• Article dans une revue

Minimal translation hypersurfaces in E4

Marilena Moruz, Marian Ioan Munteanu

In this paper we consider hypersurfaces in the Euclidean space E4 defined as the sum of a curve and a surface whose mean curvature vanishes. We call them minimal translation hypersurfaces in E4 and give a classification of these hypersurfaces.

Journal of Mathematical Analysis and Applications, 2016, 439 (2), pp.798-812. ⟨10.1016/j.jmaa.2016.02.077⟩. ⟨hal-03187545⟩

• Communication dans un congrès

COMPUTER AIDED TEACHINGS SYSTEMS

Jean-Paul Becar, Jean-Charles Canonne, Marika Seppälä, Alain Mayeur

• Communication dans un congrès

A guaranteed equilibrated error estimator for the harmonic A — φ formulation in eddy current problems

Roberta Tittarelli, Yvonnick Le Menach, Francis Piriou, Emmanuel Creusé, Serge Nicaise, Jean-Pierre Ducreux

IEEE Conference on Electromagnetic Field Computation, 2016, Miami, United States. ⟨hal-03166375⟩

• Communication dans un congrès

Espace de Minkowski-Lorentz et des sphères : un état de l'art

Jean-Paul Becar, Lucie Druoton, Laurent Fuchs, Lionel Garnier, Rémi Langevin, Géraldine Morin

Dans cet article, nous faisons une présentation de l'espace de Minkowski-Lorentz généralisant, à Ê 5 l'espace utilisé dans la théorie de la relativité. Cet espace de dimension 5 contient un paraboloïde de dimension 3 et isométrique à l'espace affine euclidien usuel E 3 , l'…

GTMG 2016, Mar 2016, DIJON, France. ⟨hal-02508285⟩

• Article dans une revue

Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes–Darcy coupled problem: isotropic discretization

Serge Nicaise, Bernardin Ahounou, Wilfrid Koffi Houedanou

In this paper we develop an a posteriori error analysis of a nonconforming mixed finite element method for the coupling of fluid flow with porous media flow. The approach utilizes the same nonconforming Crouzeix–Raviart element discretization on the entire domain (Rui and Zhang, Comput Methods Appl…

Afrika Matematika, 2016, 27 (3), pp.701-729. ⟨10.1007/s13370-015-0370-3⟩. ⟨hal-03158714⟩

• Article dans une revue

Electrical, dielectric and photocatalytic properties of Fe-doped ZnO nanomaterials synthesized by sol gel method

Yacine Cherifi, Ahcène Chaouchi, Yannick Lorgouilloux, Mohamed Rguiti, Abdelaziz Kadri, Christian Courtois

Fe-doped ZnO nanoparticles were synthesized by sol gel technique. Fine-scale and single phase hexagonal wurtzite structure in all samples were confirmed by SEM and XRD, respectively. The band gap energy depends on the amount of Fe and was found to be in the range of 3.11–2.53 eV. The electric and…

Processing and Application of Ceramics, 2016, 10 (3), pp.125-135. ⟨10.2298/PAC1603125C⟩. ⟨hal-03120131⟩

• Article dans une revue

Lorentzian Isotropic Lagrangian Immersions

Franki Dillen, Luc Vrancken

In this note we are interested in isotropic totally real Lorentzian submanifolds of indefinite complex space forms. We show that such submanifolds are always $H$-umbilical warped product immersions and we determine also the warping function.

Filomat, 2016, 30 (10), pp.2857-2867. ⟨10.2298/FIL1610857D⟩. ⟨hal-03148439⟩

• Article dans une revue

Quantum geometry and quantization on U(u(2)) background. Noncommutative Dirac monopole

Dimitri Gurevich, Pavel Saponov

In our previous publications we introduced differential calculus on the enveloping algebras U (gl(m)) similar to the usual calculus on the commutative algebra Sym(gl(m)). The main ingredients of our calculus are quantum partial derivatives which turn into the usual partial derivatives in the…

Journal of Geometry and Physics, 2016, 106, pp.87-97. ⟨10.1016/j.geomphys.2016.03.007⟩. ⟨hal-03172942⟩

• Article dans une revue

A blow-up result in a nonlinear abstract evolution system with delay

Mohammad Kafini, Salim Messaoudi, Serge Nicaise

In this paper we consider a second-order abstract evolution system with delay. We show that, under suitable conditions on the initial data and the involved functionals, the energy of solutions blows up in finite-time. We also give some concrete examples to illustrate our main result.

Nonlinear Differential Equations and Applications, 2016, 23 (2), p. 1-14. ⟨10.1007/s00030-016-0371-4⟩. ⟨hal-03163602⟩