Publications

• Article dans une revue

Existence of a variational solution for the stationary Boussinesq equations with thermocapillary effect and nonhomogenous boundary conditions

Bernardin Ahounou, Luc Paquet

In this work, we prove the existence of at least one variational solution (u, θ, p) of the stationary Boussinesq equations with thermocapillary effect on the surface and nonhomogenous boundary conditions for the velocity and the temperature. We assume that the domain is plane, bounded and polygonal…

Afrika Matematika, 2016, 27 (5-6), pp.909-921. ⟨10.1007/s13370-015-0386-8⟩. ⟨hal-03138305⟩

• Article dans une revue

Regularity of solutions of elliptic or parabolic problems with Dirac measures as data

S. Ariche, Colette De Coster, Serge Nicaise

In this paper we study the Laplace and heat equations with Dirac right-hand side. We prove some regularity results in a scale of weighted Sobolev spaces, the weight being the distance to the support of the right-hand side. Model situations in dimension three are treated by using Fourier, Laplace or…

S~eMA Journal , 2016, 73, pp.379-426. ⟨10.1007/s40324-016-0077-x⟩. ⟨hal-03149885⟩

• Article dans une revue

Fracture toughness of glasses and hydroxyapatite: a comparative study of 7 methods by using Vickers indenter

Isabel Hervas, Alex Montagne, Adrien van Gorp, M. Bentoumi, Anthony Thuault, Alain Iost

Numerous methods have been proposed to estimate the indentation fracture toughness Kic for brittle materials. These methods generally uses formulæ established from empirical correlations between critical applied force, or average crack length, and classical fracture mechanics tests. This study…

Ceramics International, 2016, 42 (11), pp.12740-12750. ⟨10.1016/j.ceramint.2016.05.030⟩. ⟨hal-01337280⟩

• Article dans une revue

Some properties of range restricted GMRES methods

Mohammed Bellalij, Lothar Reichel, Hassane Sadok

The GMRES method is one of the most popular iterative schemes for the solution of large linear systems of equations with a square nonsingular matrix. GMRES-type methods also have been applied to the solution of linear discrete ill-posed problems. Computational experience indicates that for the…

Journal of Computational and Applied Mathematics, 2015, 290, pp.310-318. ⟨10.1016/j.cam.2015.05.008⟩. ⟨hal-03135561⟩

• Article dans une revue

Consensus for linear multi-agent system with intermittent information transmissions using the time-scale theory

Fatima Zohra Taousser, Michael Defoort, Mohamed Djemai

This paper investigates the consensus problem for linear multi-agent system with fixed communication topology in the presence of intermittent communication using the time-scale theory. Since each agent can only obtain relative local information intermittently, the proposed consensus algorithm is…

International Journal of Control, 2015, 89 (1), pp.210-220. ⟨10.1080/00207179.2015.1065544⟩. ⟨hal-03184490⟩

• Article dans une revue

Superlinear critical resonant problems with small forcing term

Mabel Cuesta, Colette De Coster

We prove the existence of solutions of a class of quasilinear elliptic problems with Dirichlet boundary conditions of the following form $$\begin{aligned} \left\{ \begin{array}{l@{\quad }l} Lu= g(u) -f &{} \hbox { in } \quad \Omega ,\\ u\in X, \end{array} \right. \end{aligned}$$ where \(\Omega…

Calculus of Variations and Partial Differential Equations, 2015, 54 (1), pp.349-363. ⟨10.1007/s00526-014-0788-8⟩. ⟨hal-03137590⟩

• Article dans une revue

Les MOOC, des compétences venues d’ailleurs

Jean-Charles Canonne, Laurent Vermeiren, Benjamin Alexandre

Magazine VU, 2015, 9. ⟨hal-03132980⟩

• Article dans une revue

Bounding matrix functionals via partial global block Lanczos decomposition

Mohammed Bellalij, Lothar Reichel, G. Rodriguez, Hassane Sadok

Approximations of expressions of the form If:=trace(WTf(A)W), where A∈Rm×m is a large symmetric matrix, W∈Rm×k with k≪m, and f is a function, can be computed without evaluating f(A) by applying a few steps of the global block Lanczos method to A with initial block-vector W. This yields a partial…

Applied Numerical Mathematics: an IMACS journal, 2015, 94, pp.127-139. ⟨10.1016/j.apnum.2015.02.004⟩. ⟨hal-03135535⟩

• Article dans une revue

Classes réalisables d'extensions non abéliennes de degré p3

Maya Farhat, Bouchaïb Sodaïgui

Soient k un corps de nombres et Ok son anneau d'entiers. Soit p un nombre premier impair. Soit Γ un groupe non abélien d'ordre p3. Soient M un Ok-ordre maximal dans l'algèbre semi-simple k[Γ] contenant Ok[Γ], et Cl(M) le groupe des classes des M-modules localement libres. On définit…, Let k be a number field and its ring of integers. Let p be an odd prime number. Let Γ be a non-abelian group of order . Let be a maximal -order in the semi-simple algebra containing , and let be its locally free classgroup. We define the set of realizable classes to be the set of classes such that…

Journal of Number Theory, 2015, 152, pp.55-89. ⟨10.1016/j.jnt.2014.12.010⟩. ⟨hal-03149637⟩

• Article dans une revue

A Comparison of 1D Analytical Model and 3D Finite Element Analysis with Experiments for a Rosen-Type Piezoelectric Transformer

Faiza Boukazouha, Guylaine Poulin-Vittrant, Louis Pascal Tran-Huu-Hue, Maxime Bavencoffe, F. Boubenider, Mohamed Rguiti, Marc Lethiecq

This article is dedicated to the study of Piezoelectric Transformers (PTs), which offer promising solutions to the increasing need for integrated power electronics modules within autonomous systems. The advantages offered by such transformers include: immunity to electromagnetic disturbances; ease…

Ultrasonics, 2015, 60, pp.41-50. ⟨10.1016/j.ultras.2015.02.008⟩. ⟨hal-01814877⟩