Publications

• Article dans une revue

Wavenumber explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers

Théophile Chaumont-Frelet, Dietmar Gallistl, Serge Nicaise, Jérôme Tomezyk

The first part of this paper is devoted to a wavenumber-explicit stability analysis of a planar Helmholtz problem with a perfectly matched layer. We prove that, for a model scattering problem, the H1 norm of the solution is bounded by the right-hand side, uniformly in the wavenumber k in the highly…

Communications in Mathematical Sciences, 2022, 20 (1), pp.1-52. ⟨10.4310/CMS.2022.v20.n1.a1⟩. ⟨hal-01887267⟩

• Article dans une revue

Assembly of SBA-15 into hierarchical porous monoliths replicating polymeric scaffolds

Rıdvan Yildiz, Yannick Lorgouilloux, Jérémy Dhainaut, Carmen Ciotonea, Jean-Philippe Dacquin, Sébastien Royer, Christian Courtois

This study reports the preparation of highly porous, SBA-15-based monolithic materials with pore sizes spanning over four scales (micro-/meso-/small macro-/large macro-pores). Two approaches were explored. The first one involves the preparation of PMMA scaffolds obtained from chemically-bonded…

Microporous and Mesoporous Materials, 2022, 337, pp.111908. ⟨10.1016/j.micromeso.2022.111908⟩. ⟨hal-03644995⟩

• Article dans une revue

Existence results for the $\mathbf{A}-\varphi-\mathbf{B}$ magnetodynamic formulation of the Maxwell system with skin and proximity effects

Emmanuel Creusé, Serge Nicaise, Ruth V Sabariego

The $\mathbf{A}-\varphi-\mathbf{B}$ magnetodynamic Maxwell system given in its potential and space-time formulation is a popular model considered in the engineering community. It allows to model some phenomena such as eddy current losses in multiple turn winding. Indeed, in some cases, they can…

Applicable Analysis, 2022, 101 (8), pp.3103-3121. ⟨10.1080/00036811.2020.1836351⟩. ⟨hal-03122785⟩

• Article dans une revue

Exponential and polynomial stability results for networks of elastic and thermo-elastic rods

Alaa Hayek, Serge Nicaise, Zaynab Salloum, Ali Wehbe

<p style='text-indent:20px;'>In this paper, we investigate a network of elastic and thermo-elastic materials. On each thermo-elastic edge, we consider two coupled wave equations such that one of them is damped via a coupling with a heat equation. On each elastic edge (undamped), we…

Discrete and Continuous Dynamical Systems - Series S, 2022, 15 (5), pp.1183. ⟨10.3934/dcdss.2021142⟩. ⟨hal-04304871⟩

• Article dans une revue

Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)-Gurtin thermal law

Mohammad Akil

In this paper, we investigate the stabilization of a system of piezoelectric beams under (Coleman or Pipkin)–Gurtin thermal law with magnetic effect. First, we study the piezoelectric Coleman–Gurtin system and we obtain an exponential stability result. Next, we consider the piezoelectric Gurtin–…

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2022, 73 (6), 24 p. ⟨10.1007/s00033-022-01867-w⟩. ⟨hal-04346746⟩

• Article dans une revue

Subdivisions of Horned or Spindle Dupin Cyclides Using Bézier Curves with Mass Points

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

This paper shows the same algorithm is used for subdivisions of Dupin cyclides with singular points and quadratic Bézier curves passing through infinity. The mass points are usefull for any quadratic Bézier representation of a parabola or an hyperbola arc. The mass points are mixing weighted points…

WSEAS Transactions on Mathematics, 2021, 20, pp.756-776. ⟨10.37394/23206.2021.20.80⟩. ⟨hal-03541207⟩

• Article dans une revue

Investigation of the Eigen Frequency of a Cantilever Microbeam Immersed in a Fluid Under the Piezoelectric Effect

Victory Elias, Flavie Braud, Philippe Champagne, Georges Nassar

In this paper, a new model of piezoelectric cantilever is developed, it can be heavily used in a micro electromechanical system (MEMS). This new prototype eliminates several risks caused by the previous means already used and increases the sensation in terms of rheology. Our approach is based on…

Sensors & Transducers., 2021, 254 (7), pp.31-37. ⟨hal-03564209⟩

• Thèse

Contribution à la modélisation du frittage de l'alumine par chauffage micro-ondes, Contribution to the modelling of alumina sintering by microwave heating

Maxence Renaux

Depuis les années 80, le chauffage par micro-ondes connaît un regain d’intérêt pour lefrittage des matériaux céramiques. Il permet une réduction des temps de traitement (defrittage et de palier). Lesmesures de température réalisées pendant le frittage ne pouvants’effectuer qu’à distance, il n’est…, Since the eighties, microwave heating is receiving renewed interest in the sintering ofceramic materials. It allows a reduction in processing times (sintering and dwell times).Temperature measurements during the microwave sintering can only be carried out atdistance. It is not possible to know the…

Matériaux. Université Polytechnique Hauts-de-France, 2021. Français. ⟨NNT : 2021UPHF0043⟩. ⟨tel-03652656⟩

• Article dans une revue

Surfaces of the nearly Kähler S3×S3 preserved by the almost product structure

Miroslava Antić, Zejun Hu, Marilena Moruz, Luc Vrancken

The product manifold S3×S3 is one of the only four homogeneous six-dimensional nearly Kähler manifolds. It also admits a canonical almost product structure P, which is compatible with the almost complex structure (see Bolton et al., Tôhoku Math. J. 67 (2015), 1–17, and Moruz and Vrancken, Publ.…

• Thèse

Dopages de phosphate tricalcique beta et mise en forme de macroporeux par robocasting, Beta tricalcium phosphate doping and macroporous shaping by robocasting

Nicolas Somers

Ce travail de thèse porte sur l’élaboration de phosphate β-tricalcique (β-TCP, β-Ca3(PO4)2) dopé à l’aide de quatre cations (Mg2+, Sr2+, Ag+ et Cu2+) par la méthode de co-précipitation et la fabrication de macroporeux par robocasting. Le β-TCP est l'un des biomatériaux les plus étudiés dans le…, This thesis work focuses on the development of β-tricalcium phosphate (β-TCP, β-Ca3(PO4)2) doped with four cations (Mg2+, Sr2+, Ag+ and Cu2+) by the co-precipitation method and the manufacture of macroporous scaffolds by robocasting. β-TCP is one of the most studied biomaterials in the field of…

Biomatériaux. Université Polytechnique Hauts-de-France, 2021. Français. ⟨NNT : 2021UPHF0046⟩. ⟨tel-03550098⟩