Publicaciones

• Article dans une revue

Lower and upper solutions for the heat equation on a polygonal domain of R2

Colette De Coster, Serge Nicaise

We consider the nonlinear periodic-Dirichlet heat equation on a polygonal domain of the plane in weighted Lp-Sobolev spaces equation presented Here f is Lp(0; T;Lpμ(Ω)-Caratheodory, where L pμ(Ω) = {v ε Lploc(Ω) : rμv ε Lp(Ω)}, with a real parameter μ and r(x) the distance from x to the set of...

Differential and integral equations, 2013, 26 (5/6), pp.603-622. ⟨hal-03137717⟩

• Article dans une revue

Residual and Equilibrated Error Estimators for Magnetostatic Problems Solved by Finite Element Method

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

In finite element computations, the choice of the mesh is crucial to obtain accurate solutions. In order to evaluate the quality of the mesh, a posteriori error estimators can be used. In this paper, we develop residual-based error estimators for magnetostatic problems with both classical...

IEEE Transactions on Magnetics, 2013, 49 (12), pp.5715-5723. ⟨10.1109/TMAG.2013.2271993⟩. ⟨hal-00910314⟩

• Article dans une revue

Reducing crosstalk in array structures by controlling the excitation voltage of individual elements : a feasibility study

Abdelmajid Bybi, Sébastien Grondel, Jamal Assaad, Anne-Christine Hladky, Christian Granger, Mohamed Rguiti

This paper describes a procedure to minimize crosstalk between the individual elements of a piezoelectric transducer array. A two-dimensional finite elements model was developed and the excitation voltages predicted by the model were applied to the array prototypes made of PZT 27 ceramic. Symmetric...

Ultrasonics, 2013, 53 (6), pp.1135-1140. ⟨10.1016/j.ultras.2013.02.009⟩. ⟨hal-00823966⟩

• Chapitre d'ouvrage

Energy flow above the threshold of tunnel effect

Felix Ali Mehmeti, Virginie Régnier, R. Haller-Dintelmann

Almeida, Alexandre; Castro, Luís; Speck, Frank-Olme. Advances in Harmonic Analysis and Operator Theory, 229, Springer Verlag, pp.65-76, 2013, Operator Theory: Advances and Applications, 978-3-0348-0515-5. ⟨hal-03227696⟩

• Article dans une revue

Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems

F. Abdallah, D. Mercier, Serge Nicaise

In this paper, we consider two damped wave problems for which the damping terms are allowed to change their sign. Using a careful spectral analysis, we find critical values of the damping coefficients for which the problem becomes exponentially or polynomially stable up to these critical values.

Evolution Equations and Control Theory, 2013, 2, pp.1-33. ⟨10.3934/eect.2013.2.1⟩. ⟨hal-03134858⟩

• Article dans une revue

Photocatalytic solution discoloration and self-cleaning by polyester fabric functionalized with ZnO nanorods

Munir Ashraf, Philippe Champagne, Anne Perwuelz, Campagne Christine, Anne Leriche

Polyester fabric was functionalized with ZnO nanorods grown by hydrothermal method. The ZnO seeds were deposited on fabric which provided the sites for growth of nanorods. The functionalized fabric showed self-cleaning by degrading color stains and solution discoloration under the effect of...

Journal of Industrial Textiles, 2013, 44 (6), pp.884-898. ⟨10.1177/1528083713519662⟩. ⟨hal-03121037⟩

• Article dans une revue

Option pricing with constant elasticity of variance (CEV) model

Rajae Aboulaich, M. L. Hadji, Abdelilah Jraifi

In this work we propose an approximate numerical method for pricing of options for the constant elasticity of variance (CEV) diffusion model. We prove firstly the existence and uniqueness of the solution in weighted Sobolev space, and then we propose the finite element method and finite difference...

Applied Mathematical Sciences, 2013, 7 (109), pp.5443-5456. ⟨10.12988/ams.2013.36339⟩. ⟨hal-03135010⟩

• Communication dans un congrès

Courbes algébriques-trigonométriques à holographe pythagorien et leur utilisation pour résoudre le problème d'interpolation de Hermite

Laura Saini, Lucia Romani, Gudrun Albrecht

Journées de modélisation géométrique, 2013, Marseille, France. ⟨hal-03187567⟩

• Article dans une revue

Polynomial decay rate for a wave equation with general acoustic boundary feedback laws

Serge Nicaise, Zainab Abbas

We consider the stabilization of the wave equation by a general class of acoustic boundary feedback laws at one extremity. This system is not uniformly stable but we furnish sufficient conditions that guarantee a polynomial stability. Our method combines the use of an observability inequality for...

SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2013, 61 (1), pp.19-48. ⟨10.1007/s40324-013-0002-5⟩. ⟨hal-03134810⟩

• Article dans une revue

Dispersive waves with multiple tunnel effect on star shaped networks

Felix Ali Mehmeti, Robert Haller-Dintelmann, Virginie Régnier

We consider the Klein-Gordon equation on a star-shaped network composed of n half-axes connected at their origins. We add a potential which is constant but dierent on each branch. The corresponding spatial operator is self-adjoint and we state explicit expressions for its resolvent and its...

Discrete and Continuous Dynamical Systems - Series S, 2013, 6 (3), pp.783-791. ⟨10.3934/dcdss.2013.6.783⟩. ⟨hal-03227666⟩