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Article dans une revue

Takacs-Fiksel method for stationary marked Gibbs point processes

Jean-François Coeurjolly, David Dereudre, Rémy Drouilhet, Frédéric Lavancier

This paper studies a method to estimate the parameters governing the distribution of a stationary marked Gibbs point process. This procedure, known as the Takacs-Fiksel method, is based on the estimation of the left and right hand sides of the Georgii-Nguyen-Zessin formula and leads to a family of…

Scandinavian Journal of Statistics, 2012, 39 (3), pp.416-443. ⟨10.1111/j.1467-9469.2011.00738.x⟩. ⟨hal-00502004v2⟩

Article dans une revue

Stability of tetragonal 〈001〉 oriented PZN-12PT single crystals

S. Touhtouh, A. Hajjaji, Y. Boughaleb, K. Benkhouja, A. Arbaoui, Mohamed Rguiti, D. Guyomar

The present paper reports on the synthesis and electromechanical characterization of tetragonal (1 − x)Pb(Zn1/3–Nb2/3)O3–xPbTiO3 (x = 12) single crystals as a function of various external disturbances. Tetragonal PZN-12PT single crystals were grown using the flux method. The set of piezoelectric…

Optical Materials, 2012, 34 (10), pp.1625-1629. ⟨10.1016/j.optmat.2012.04.002⟩. ⟨hal-04281119⟩

Article dans une revue

Existence of Gibbsian point processes with geometry-dependent interactions

David Dereudre, Rémy Drouilhet, Hans Otto Georgii

We establish the existence of stationary Gibbsian point processes for interactions that act on hyperedges between the points. For example, such interactions can depend on Delaunay edges or triangles, cliques of Voronoi cells or clusters of k-nearest neighbors. The classical case of pair…

Probability Theory and Related Fields, 2012, 153 (3-4), pp.643-670. ⟨10.1007/s00440-011-0356-5⟩. ⟨hal-00850422⟩

Article dans une revue

Biomimetic evaluation of β tricalcium phosphate prepared by hot isostatic pressing

Mihaela Mateescu, Emmanuelle Rguitti, Arnaud Ponche, Michel Descamps, Karine Anselme

Two types of completely densified β-TCP tablets were synthesized from a stoichiometric β-TCP powder. The first ones (TCP) were conventionally sintered, while the second ones (TCP-T) were sintered and treated by hot isostatic process (HIP). The HIP produced completely densified materials with…

Biomatter, 2012, 2 (3), pp.103-113. ⟨10.4161/biom.21377⟩. ⟨hal-02584462⟩

Article dans une revue

Morphotropic phase boundary in the BNT–BT–BKT system

Jean-François Trelcat, Christian Courtois, Mohamed Rguiti, Anne Leriche, Paul-Henri Duvigneaud, Tiriana Segato

Lead-free x Bi0.5Na0.5TiO3–y BaTiO3–z Bi0.5K0.5TiO3 piezoelectric ceramics were synthesized by a conventional solid state reaction method. The microstructure, ferroelectric and piezoelectric properties of the ceramics were investigated. Structure measurements by X-ray diffraction with Rietveld…

Ceramics International, 2012, 38 (4), pp.2823-2827. ⟨10.1016/j.ceramint.2011.11.053⟩. ⟨hal-04281117⟩

Article dans une revue

Stabilization of non-homogeneous elastic materials with voids

Serge Nicaise, Julie Valein

We study the asymptotic behavior of the solution of the non-homogeneous elastic system with voids and a thermal effect. We first prove the well-posedness of this system under some realistic assumptions on the coefficients. Since this system suffers of exponential stability (as shown in dimension 1…

Journal of Mathematical Analysis and Applications, 2012, 387 (2), pp.1061-1087. ⟨10.1016/j.jmaa.2011.10.018⟩. ⟨hal-00644065⟩

Article dans une revue

Residual-based a posteriori estimators for the A/phi magnetodynamic harmonic formulation of the Maxwell system

Emmanuel Creusé, Serge Nicaise, Zuqi Tang, Yvonnick Le Menach, Nicolas Nemitz, Francis Piriou

This paper is devoted to the derivation of an a posteriori residual-based error estimator for the A/phi magnetodynamic harmonic formulation of the Maxwell system. The weak continuous and discrete formulations are established, and the well-posedness of both of them is addressed. Some useful…

Mathematical Models and Methods in Applied Sciences, 2012, 22 (5), pp.30. ⟨10.1142/S021820251150028X⟩. ⟨hal-00562073⟩

Article dans une revue

Spectral analysis and stabilization of a chain of serially connected Euler-Bernoulli beams and strings

Kais Ammari, Denis Mercier, Virginie Régnier, Julie Valein

We consider N Euler-Bernoulli beams and N strings alternatively connected to one another and forming a particular network which is a chain beginning with a string. We study two stabilization problems on the same network and the spectrum of the corresponding conservative system: the characteristic…

Communications on Pure and Applied Analysis, 2012, 11 (2), pp.785--807. ⟨10.3934/cpaa.2012.11.785⟩. ⟨hal-00644058⟩

Article dans une revue

Stability results for the approximation of weakly coupled wave equations

Farah Abdallah, Serge Nicaise, Julie Valein, Ali Wehbe

In this note, we consider the approximation of two coupled wave equations with internal damping. Our goal is to damp the spurious high frequency modes by introducing numerical viscosity terms in the approximation schemes. With these viscosity terms, we show the exponential or polynomial decay of…

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2012, 350 (1-2), pp.29-34. ⟨10.1016/j.crma.2011.12.004⟩. ⟨hal-00755739⟩

Article dans une revue

Analytic Regularity for Linear Elliptic Systems in Polygons and Polyhedra

Martin Costabel, Monique Dauge, Serge Nicaise

We prove weighted anisotropic analytic estimates for solutions of second order elliptic boundary value problems in polyhedra. The weighted analytic classes which we use are the same as those introduced by Guo in 1993 in view of establishing exponential convergence for <i>hp</i> finite…

Mathematical Models and Methods in Applied Sciences, 2012, 22 (8), 63 p. ⟨10.1142/S0218202512500157⟩. ⟨hal-00454133v3⟩