Publications

• ART

An explicit seven-term exact sequence for the cohomology of a Lie algebra extension

Manfred Hartl, S. Wauters, K. Dekimpe

We construct a seven-term exact sequence involving low degree cohomology spaces of a Lie algebra g, an ideal h of g, and the quotient g/h with coefficients in a g-module. The existence of such a sequence follows from the Hochschild-Serre spectral sequence associated to the Lie algebra extension.…

Communications in Algebra, 2016, 44 (3), pp.1321-1349. ⟨10.1080/00927872.2015.1027351⟩. ⟨hal-03235017⟩

• ART

Coupled Electro-Thermo-Mechanical Finite Element Modeling of the Spark Plasma Sintering Technique

Maxime Schwertz, Aurelien Katz, Emmanuel Sorrel, Sébastien Lemonnier, Elodie Barraud, Adèle Carrado, Sophie d'Astorg, Anne Leriche, Michel Nardin, Marie-France Vallat, Francis Kosior

This paper deals with the development of a novel and predictive finite element method (FEM) model coupling electrical, thermal, and mechanical time-dependent contributions for simulating the behavior of a powdery material submitted to a spark plasma sintering (SPS) treatment by using COMSOL…

Metallurgical and Materials Transactions B, 2016, 47 (2), pp.1263-1273. ⟨10.1007/s11663-015-0514-8⟩. ⟨hal-01344181⟩

• ART

PU/PZT composites for vibratory energy harvesting

S. Touhtouh, Mohamed Rguiti, Christian Courtois, F. Belhora, A. Arbaoui, Sophie d'Astorg, A. Rachek, A. Hajjaji

Piezoelectric composites of PU/PZT with 0–3 connectivity were prepared in the film form. Homogeneous dispersion of the ceramic PZT in polyurethane matrix has been obtained and has been verified by SEM analysis. Dielectric properties reveal that under an electrical field of 1000 V the remnant…

Optical and Quantum Electronics, 2016, 48 (4), ⟨10.1007/s11082-016-0518-x⟩. ⟨hal-01769134⟩

• COMM

ARE LOCAL TEACHERS REQUIRED WITHIN MOOCS SESSIONS?

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

INTED 2016, iated, Mar 2016, Valencia, Spain. ⟨hal-02508371⟩

• ART

Complete Lagrangian ideal δ(2) submanifolds in the complex projective space : recent advances in the geometry of submanifolds – dedicated to the memory of Franki DILLEN (1963–2013)

Luc Vrancken

In the 1990s B.Y. Chen introduced a sequence of curvature invariants, constructed using appropriate sectional curvatures of the manifold. Each of these invariants is used to obtain an optimal lower bound for the length of the mean curvature vector for an immersion in a real space form. This upper…

• ART

A classification of isotropic affine hyperspheres

Marilena Moruz, Luc Vrancken

We study affine hypersurfaces M, which have isotropic difference tensor. Note that, any surface always has isotropic difference tensor. In case that the metric is positive definite, such hypersurfaces have been previously studied in [O. Birembaux and M. Djoric, Isotropic affine spheres, Acta Math.…

International Journal of Mathematics, 2016, 27 (9), pp.1650074. ⟨10.1142/S0129167X16500749⟩. ⟨hal-03173175⟩

• ART

Derivatives in noncommutative calculus and deformation property of quantum algebras

Dimitri Gurevich, Pavel Saponov

The aim of the paper is twofold. First, we introduce analogs of (partial) derivatives on certain noncommutative algebras, including some enveloping algebras and their “braided counterparts” — the so-called modified Reflection Equation algebras. With the use of the mentioned derivatives we construct…

Journal of Noncommutative Geometry, 2016, 10 (4), pp.1215-1241. ⟨10.4171/JNCG/258⟩. ⟨hal-03165320⟩

• ART

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⟩

• ART

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⟩

• COMM

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⟩