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Article dans une revue

A posteriori error estimates for a fully discrete approximation of Sobolev equations

Serge Nicaise, Fatiha Bekkouche

The paper presents an a posteriori error estimator for a (piecewise linear) conforming finite element approximation of some (linear) Sobolev equations in R d , d = 2 or 3, using implicit Euler's scheme. For this discretization, we derive a residual indicator, which uses a spatial residual…, L'accès aux articles de la revue « Confluentes Mathematici » (http://cml.cedram.org/), implique l'accord avec les conditions générales d'utilisation (http://cml.cedram.org/legal/). Toute reproduction en tout ou partie de cet article sous quelque forme que ce soit pour tout usage…

Confluentes Mathematici, 2019, 11 (1), pp.3-28. ⟨10.5802/cml.53⟩. ⟨hal-04305434⟩

Article dans une revue

Local Electrical Characterization of PVDF Textile Filament

Anthony Ferri, François Rault, Antonio da Costa, Cédric Cochrane, Matthieu Boudriaux, Guillaume Lemort, Christine Campagne, Eric Devaux, Christian Courtois, Rachel Desfeux

The piezoelectric behavior of poly(vinylidene fluoride), PVDF, has been known for several decades and is clearly related to its crystalline phases. Many works made on films or fibers have focused on the characterization of the phase transitions during various PVDF processing and on its…

Fibers and Polymers, 2019, 20 (7), pp.1333-1339. ⟨10.1007/s12221-019-8519-6⟩. ⟨hal-02292712⟩

Article dans une revue

Decay rate of the Timoshenko system with one boundary damping

Denis Mercier, Virginie Régnier

In this paper, we study the indirect boundary stabilization of the Timoshenko system with only one dissipation law. This system, which models the dynamics of a beam, is a hyperbolic system with two wave speeds. Assuming that the wave speeds are equal, we prove exponential stability. Otherwise, we…

Evolution Equations and Control Theory, 2019, 8 (2), pp.423-445. ⟨10.3934/eect.2019021⟩. ⟨hal-03142506⟩

Article dans une revue

A class of analytic pairs of conjugate functions in dimension three

Paul Baird, Elsa Ghandour

We exploit an ansatz in order to construct power series expansions for pairs of conjugate functions defined on domains of Euclidean 3-space. Convergence properties of the resulting series arc investigated. Entire solutions which are not harmonic are found as well as a 2-parameter family of examples…

Advances in Geometry, 2019, 19 (3), pp.421-432. ⟨10.1515/advgeom-2018-0034⟩. ⟨hal-03233957⟩

Article dans une revue

Lagrangian submanifolds of the nearly Kähler S3 × S3 from minimal surfaces in S3

Burcu Bektaş, Marilena Moruz, Joeri van Der Veken, Luc Vrancken

We study non-totally geodesic Lagrangian submanifolds of the nearly Kähler S3 × S3 for which the projection on the first component is nowhere of maximal rank. We show that this property can be expressed in terms of the so-called angle functions and that such Lagrangian submanifolds are closely…

Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2019, 149 (03), pp.655-689. ⟨10.1017/prm.2018.43⟩. ⟨hal-03156184v2⟩

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⟩

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⟩

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⟩