Publications

• Article dans une revue

Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems

Théophile Chaumont-Frelet, Serge Nicaise

We analyze the convergence of finite element discretizations of time-harmonic wave propagation problems. We propose a general methodology to derive stability conditions and error estimates that are explicit with respect to the wavenumber. This methodology is formally based on an expansion of the…

IMA Journal of Numerical Analysis, 2019, ⟨10.1093/imanum/drz020⟩. ⟨hal-01685388v2⟩

• Article dans une revue

Absence of percolation for Poisson outdegree-one graphs

David Coupier, David Dereudre, Simon Le Stum

A Poisson outdegree-one graph is an oriented graph based on a Poisson point process such that each vertex has only one outgoing edge. The paper focuses on the absence of percolation for such graphs. Our main result is based on two assumptions. The Shield assumption ensures that the graph is locally…

Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2019, 56 (2), ⟨10.1214/19-AIHP998⟩. ⟨hal-04396346⟩

• Article dans une revue

Dielectric and mechanical optimization properties of porous poly(ethylene-co-vinyl acetate) copolymer films for pseudo-piezoelectric effect

C. Ennawaoui, Houda Lifi, A. Hajjaji, C. Samuel, Mohamed Rguiti, S. Touhtouh, A. Azim, Christian Courtois

In this article, the authors present a porous copolymer film with pseudo-piezoelectric effects as a new candidate material for sensing applications. Porous films of poly(ethylene-co-vinyl acetate) (EVA) with a thicknesses ranging from 160 to 310 μm are fabricated by a coextrusion chemical foaming…

Polymer Engineering and Science, 2019, 59 (7), pp.1455-1461. ⟨10.1002/pen.25132⟩. ⟨hal-03314893⟩

• Thèse

Transparent Er : YAG ceramics with doping gradient processed by SPS and reactive sintering, Céramiques transparentes Er : YAG à gradient de dopage élaborées par SPS et frittage réactif

Maxime Lagny

The realization of transparent Er:YAG ceramics for laser application requires a perfect transparency that implies a high quality of the used powder and a perfect control of the manufacturing processes. However, the quality of the starting powder is sometimes insufficient and its characteristics are…, La réalisation de céramiques transparentes de type Er:YAG pour application laser nécessite une transparence parfaite ce qui implique une grande qualité de la poudre utilisée et une parfaite maîtrise des procédés de fabrication. Afin d’obtenir une céramique transparente, la première partie de cette…

Mechanics of materials [physics.class-ph]. Université de Valenciennes et du Hainaut-Cambresis, 2019. English. ⟨NNT : 2019VALE0009⟩. ⟨tel-03224545⟩

• Poster de conférence

Fabrication of higher thermal stability doped β-tricalcium phosphate bioceramics by robocasting

Nicolas Somers, Florian Jean, Marie Lasgorceix, Anthony Thuault, Nicolas Preux, Cathy Delmotte, Fabrice Petit, Anne Leriche

Young Ceramists Additive Manufacturing Forum (YCAM 2019), Apr 2019, Mons, Belgium. ⟨hal-04392678⟩

• Article dans une revue

Braided Yangians

Dimitri Gurevich, Pavel Saponov

Yangian-like algebras associated with current R-matrices different from the Yang ones are introduced. These algebras are of two types. The so-called braided Yangians are close to the Reflection Equation algebras, arising from involutive or Hecke symmetries. The Yangians of RTT type are close to the…

Journal of Geometry and Physics, 2019, 138, pp.124-143. ⟨10.1016/j.geomphys.2018.12.024⟩. ⟨hal-03156078⟩

• Article dans une revue

Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry

Chiara Corsato, Colette De Coster, Noemi Flora, Pierpaolo Omari

This paper deals with the quasilinear elliptic problem − div(∇u/\sqrt(1 + |∇u|^2))+ a(x)u = b(x)/\sqrt{1 + |∇u|^2} in B, u = 0 on ∂B, where B is an open ball in R^N, with N ≥ 2, and a, b ∈ C^1(B) are given radially symmetric functions, with a(x) ≥ 0 in B. This class of anisotropic prescribed mean…

Nonlinear Analysis, 2019, 181, pp.9-23. ⟨10.1016/j.na.2018.11.001⟩. ⟨hal-03721364⟩

• Communication dans un congrès

Braided Yangians

Dimitri Gurevich

Yangian-like algebras associated with current R-matrices different from the Yang ones are introduced. These algebras are of two types. The so-called braided Yangians are close to the Reflection Equation algebras, arising from involutive or Hecke symmetries. The Yangians of RTT type are close to the…

Workshop on Classical and Quantum Integrable systems, Euler Institute, Euler International Mathematical Institute, Jul 2016, Saint-Petersburg, Russia. pp.124-143. ⟨hal-03156068⟩

• Article dans une revue

About the gauge conditions arising in Finite Element magnetostatic problems

Emmanuel Creusé, Patrick Dular, Serge Nicaise

In this paper, we deal with some magnetostatic models considered in vector potential formulations and solved by a Finite Element solver. In order to ensure the uniqueness of the solution, a gauge condition has to be imposed, and several possibilities occur. Moreover, the source term has to be…

Computers & Mathematics with Applications, 2019, 77 (6), pp.1563-1582. ⟨10.1016/j.camwa.2018.06.030⟩. ⟨hal-01955649⟩

• Article dans une revue

Two Guaranteed Equilibrated Error Estimators for Harmonic Formulations in Eddy Current Problems

Emmanuel Creusé, Yvonnick Le Menach, Serge Nicaise, Francis Piriou, Roberta Tittarelli

In this paper, two guaranteed equilibrated error estimators are proposed and compared for the 3D harmonic magnetodynamic problem of Maxwell's system. This system is recasted in the classical A − ϕ potential formulation or, equivalently , in the T − Ω potential formulation, and it is solved by…

Computers & Mathematics with Applications, 2019, 77 (6), pp.1549-1562. ⟨10.1016/j.camwa.2018.08.046⟩. ⟨hal-01955692⟩