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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⟩

Article dans une revue

Using PVDF piezoelectric polymers to maximize power harvested by mechanical structure

Adil Eddiai, Mounir Meddad, Rida Farhan, M’hammed Mazroui, Mohamed Rguiti, D. Guyomar

In recent years, electroactive materials have attracted interest due to its applications in energy harvesting owing to piezoelectric nature. The energy harvesting with these PVDF piezoelectric polymers have great potential to remote applications such as in vivo sensors, embedded micro-electro-…

Superlattices and Microstructures, 2019, 127, pp.20-26. ⟨10.1016/j.spmi.2018.03.044⟩. ⟨hal-02166699⟩

Article dans une revue

Design hybridization system of TEG/PZT for power generation: Modelling and experiments

Mounir Meddad, Adil Eddiai, Rida Farhan, Seddik Benahadouga, M’hammed Mazroui, Mohamed Rguiti

Energy harvesting aims to feed portable or fix electrical appliances that can be communicated in order to make them energetically autonomous. This Self-powered is more envisageable as the new electronic technologies available are sober in energy. This study focuses on the generation of electrical…

Superlattices and Microstructures, 2019, 127, pp.86-92. ⟨10.1016/j.spmi.2018.03.007⟩. ⟨hal-03478758⟩

Article dans une revue

Control of the radiative heating of a semi-transparent body

Hawraa Nabolsi, Luc Paquet, Ali Wehbe

In a preceding paper, we have studied the radiative heating of a semi-transparent body Ω (e.g., glass) by a black radiative source S surrounding it, black source at absolute uniform temperature u(t) at time t between time 0 and time tf, the final time of the radiative heating. This problem has been…

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2019, 70 (1), 33 p. ⟨10.1007/s00033-018-1059-x⟩. ⟨hal-03166346⟩

Article dans une revue

Three-dimensional CR submanifolds of the nearly Kähler $$\mathbb {S}^3\times \mathbb {S}^3$$

Miroslava Antić, Nataša Djurdjević, Marilena Moruz, Luc Vrancken

It is known that there exist only four six-dimensional homogeneous non-Kähler, nearly Kähler manifolds: the sphere S6, the complex projective space CP3, the flag manifold F3 and S3×S3. So far, most of the results about submanifolds have been obtained when the ambient space is the nearly Kähler S6.…

Annali di Matematica Pura ed Applicata, 2019, 198 (1), pp.227-242. ⟨10.1007/s10231-018-0770-8⟩. ⟨hal-03722186⟩

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Evaluation of performance of polyamide/lead zirconate titanate composite for energy harvesters and actuators

Rida Farhan, Mohamed Rguiti, Adil Eddiai, M’hammed Mazroui, Mounir Meddad, Christian Courtois

By means of experimental tools, we have studied the effect of lead zirconate titanate volume fraction introduced in polyamide-6/lead zirconate titanate composites on dielectric, piezoelectric, mechanical, and structural properties. As the first result, we found that the insertion of lead zirconate…

Journal of Composite Materials, 2019, 53 (3), pp.345-352. ⟨10.1177/0021998318783324⟩. ⟨hal-03080537⟩

Article dans une revue

Micropatterning of beta tricalcium phosphate bioceramic surfaces, by femtosecond laser, for bone marrow stem cells behavior assessment

Marie Lasgorceix, Cédric Ott, Laurent Boilet, Stéphane Hocquet, Anne Leriche, Asadian Mahtab, Nathalie De Geyter, Heidi Declercq, Véronique Lardot, Francis Cambier

The bioactivity of synthetic bone implants is highly impacted by their surface topography, especially by the presence of micro-patterns likely to generate cells growth guidance. In this study, laser machining technology was employed in order to produce controlled regular micro-patterns on dense…

Materials Science and Engineering: C, 2019, 95, pp.371-380. ⟨10.1016/j.msec.2018.03.004⟩. ⟨hal-03478975⟩

Article dans une revue

A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient

Colette De Coster, Antonio J. Fernández Sánchez, Louis Jeanjean

Let Ω ⊂ RN , N ≥ 2, be a smooth bounded domain. We consider a boundary value problem of the form −∆u = cλ(x)u + µ(x)|∇u|^2 + h(x) , u ∈ H1^0(Ω) ∩ L∞(Ω) where cλ depends on a parameter λ ∈ R, the coefficients cλ and h belong to L^q(Ω) with q > N/2 and µ ∈ L∞(Ω). Under suitable assumptions, but…, Soit Ω ⊂ RN , N ≥ 2, un domaine borné régulier. Nous consid´erons un problème aux limites de la forme −∆u = cλ(x)u + µ(x)|∇u|^2 + h(x) , u ∈ H1^0(Ω) ∩ L∞(Ω) où cλ dépend d’un paramètre λ ∈ R, les coefficients cλ et h sont des fonctions dans L^q(Ω) avec q > N/2 et µ ∈ L∞(Ω). Sous certaines…

Journal de Mathématiques Pures et Appliquées, 2019, 132, pp.308-333. ⟨10.1016/j.matpur.2019.09.011⟩. ⟨hal-02367279⟩

Article dans une revue

Directed, cylindric and radial Brownian webs

David Coupier, Jean-François Marckert, Viet Chi Tran

The Brownian web (BW) is a collection of coalescing Brownian paths (W (x,t) , (x, t) ∈ R 2) indexed by the plane. It appears in particular as continuous limit of various discrete models of directed forests of coalescing random walks and navigation schemes. Radial counterparts have been considered…

Electronic Journal of Probability, 2019, 24 (20), pp.1-48. ⟨10.1214/18-EJP255⟩. ⟨hal-01569036⟩